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Nondegenerate Critical Manifolds

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Topological Classification of All Integrable Hamiltonian Differential Equations of General Type With Two Degrees of Freedom
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Raoul Bott: Collected Papers
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The Existence of Three Short Closed Geodesics
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Novikov type inequalities for orbifolds
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Gradient flows of Morse-Bott functions
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Morse theory on Lie groupoids
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The Einstein–Maxwell Equations and Conformally Kähler Geometry
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Determination of Stable Branches of Relative Equilibria of the N-Vortex Problem on the Sphere
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Orbit duality for flag manifolds
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A semiclassical heat kernel proof of the Poincaré–Hopf theorem
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Finsler interpolation inequalities
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Morse theory methods for a class of quasi-linear elliptic systems of higher order
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Kähler Soliton Surfaces Are Generically Toric
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Common Singularities of Commuting Vector Fields
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A Hilbert–Mumford criterion for polystability for actions of real reductive Lie groups
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Projective representations of real semisimple Lie groups and the gradient map
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Convexity of Multi-valued Momentum Maps
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Newton Algorithm on Constraint Manifolds and the 5-Electron Thomson Problem
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Bifurcations of extremals of Fredholm functionals
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A note on residue formulas for the Euler class of sphere fibrations
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Morse theory, Higgs fields, and Yang–Mills–Higgs functionals
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$$C^0$$-robustness of topological entropy for geodesic flows
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Bach-Flat Kähler Surfaces
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Some computations in string topology
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A Generalized Discrete Morse–Floer Theory
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Polar Decomposition-based Algorithms on the Product of Stiefel Manifolds with Applications in Tensor Approximation
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The connectivity of Vietoris–Rips complexes of spheres
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Morse inequalities for R-constructible sheaves
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Equivariant differential topology
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Decompositions of the space of loops on a lie group
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The width of homotopies into spheres
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Morse functions for which the stationary phase approximation is exact
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Localization for nonabelian group actions
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The Skyrme model
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Singlet couplings and (0,2) models
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A Proof of the Bott Inequalities
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Symmetry Breaking in General Relativity
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Morse theory and nonlinear differential equations
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The Morse–Bott inequalities, orientations, and the Thom isomorphism in Morse homology
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Morse–Bott inequalities in the presence of a compact Lie group action and applications
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Critical manifolds and stability in Hamiltonian systems with non-holonomic constraints
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Squared distance function on the configuration space of a planar spider with applications to Hooke energy and Voronoi distance
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Morse-type inequalities for dynamical systems and the Witten Laplacian
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Existence of closed geodesics on Finsler -spheres
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Methods of infinite dimensional Morse theory for geodesics on Finsler manifolds
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The configuration space of the n-arms machine in the Euclidean space
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An alternative proof of a formula on Euler characteristics of singularity sets of a Morin map M→Rn based on Morse theory
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On the area of constrained polygonal linkages
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Semiclassical limit for nonlinear Schrödinger equations with electromagnetic fields
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Extrema of sums of heterogeneous quadratic forms
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Geometric proofs of some theorems of Schur-Horn type
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Bibliography
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Morse theory on G-manifolds
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BIFURCATION IN PRESCRIBED MEAN CURVATURE PROBLEM
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Bifurcation from an Orbit of Symmetry
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Morse indices of degenerate critical orbits and applications — perturbation methods in equivariant cases
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A proof of the Morse-Bott Lemma
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Morse theory and stable pairs
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ANALYSIS OF CONTACT CAUCHY–RIEMANN MAPS II: CANONICAL NEIGHBORHOODS AND EXPONENTIAL CONVERGENCE FOR THE MORSE–BOTT CASE
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Remarks on the topology of spatial polygon spaces
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Some examples of minimally degenerate Morse functions
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The Morse–Bott inequalities via a dynamical systems approach
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Novikov type inequalities for differential forms with non-isolated zeros
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Topology of the Two Fixed Centers Problem
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Morse theory for vector fields and the Witten Laplacian
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On the construction of perfect Morse functions on compact manifolds of coherent states
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BOTT PERIODICITY FROM THE POINT OF VIEW OF ANn-DIMENSIONAL DIRICHLET FUNCTIONAL
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THE TOPOLOGY OF SURFACES OF CONSTANT ENERGY IN INTEGRABLE HAMILTONIAN SYSTEMS, AND OBSTRUCTIONS TO INTEGRABILITY
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THE TOPOLOGY OF FUNCTIONAL MANIFOLDS AND THE CALCULUS OF VARIATIONS IN THE LARGE
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The symplectic topology of completely integrable Hamiltonian systems
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THE STABLE HOMOTOPY OF THE CLASSICAL GROUPS
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The Index of a Constrained Critical Point
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Embeddings of 3-Manifolds in S4 from the Point of View of the 11-Tetrahedron Census
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Elliptic system with some singular nonlinearity
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Excited states in the adiabatic Holstein model
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Persistence of homoclinic orbits for billiards and twist maps
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Multiple semiclassical standing waves for fractional nonlinear Schrödinger equations
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Persistence of stationary motion under explicit symmetry breaking perturbation
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Semiclassical asymptotics on manifolds with boundary
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Topological classification of simple Morse Bott functions on surfaces
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Inequalities of critical point theory
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On geodesics that are also orbits
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Morse theory for 𝐺-manifolds
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Perturbation of periodic manifolds of hamiltonian systems
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Morse theory on Kähler homogeneous spaces
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Morse-Bott homology
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Equivariant Morse theory for flows and an application to the 𝑁-body problem
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𝑆𝑂(2)-equivariant vector fields on 3-manifolds: moduli of stability and genericity
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Conjugate Loci of Totally Geodesic Submanifolds of Symmetric Spaces
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Marston Morse and his mathematical works
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Lectures on Morse theory, old and new
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Intersection Homology and Torus Actions
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The Cohomology Rings of Moduli Spaces of Bundles over Riemann Surfaces
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Exactness of the Novikov inequalities
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Counting zeros of closed 1-forms
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Least-Squares Estimation, Linear Programming, and Momentum: A Geometric Parametrization of Local Minima
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Morse Theory without Non-Degeneracy
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New approach to the sign problem in quantum field theories: High density QCD on a Lefschetz thimble
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Navigation Functions for everywhere partially sufficiently curved worlds
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Anchoring Sagittal Plane Templates in a Spatial Quadruped
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Characterization of the Critical Sets of Quantum Unitary Control Landscapes
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Convexity and Commuting Hamiltonians
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Cohomology of U(2,1) representation varieties of surface groups
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On one class of model optimization problems with a continuum of solutions
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The type numbers of closed geodesics
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Approximate Matrix and Tensor Diagonalization by Unitary Transformations: Convergence of Jacobi-Type Algorithms
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Morse–Conley–Floer homology
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Morse–Bott theory on posets and a homological Lusternik–Schnirelmann theorem
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A Morse lemma for degenerate critical points with low differentiability
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Bott\'s periodicity theorem from the algebraic topology viewpoint
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Um invariante para sistemas com integral primeira Morse-Bott
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On The Closed Geodesics Problem
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Fourth order Hamiltonian system with some singular nonlinear term and multiplicity result
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Taut representations of compact simple Lie groups
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The flow category of the action functional on $\mathcal{L}G_{N,N+K}(\mathbb{C})$
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Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras
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Perverse sheaves on rank stratifications
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Morse homology and degenerate Morse inequalities
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A new Morse theory and strong resonance problems
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New Perspectives of Quantum Analogues
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Optimal Łojasiewicz–Simon inequalities and Morse–Bott Yang–Mills energy functions
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Łojasiewicz–Simon gradient inequalities for analytic and Morse–Bott functions on Banach spaces
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Special Kähler-Ricci potentials on compact Kähler manifolds
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The symplectic Floer homology of composite knots
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Semiclassical asymptotics on manifold with boundary
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A NOTE ON THE DEGENERATE MORSE INEQUALITIES
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THE GEOMETRY AND TOPOLOGY ON GRASSMANN MANIFOLDS
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Normal Forms for Degenerate Dynamical Systems with Applications to Lie Groups
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Homology of spaces of regular loops in the sphere
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The Euler characteristic of the configuration space of planar spidery linkages
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Analytic approach to S1–equivariant Morse inequalities
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Morse–Bott cohomology from homological perturbation theory
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The persistent topology of optimal transport based metric thickenings
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Geodesics and horizontal-path spaces in Carnot groups
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Resolution of singularities and geometric proofs of the Łojasiewicz inequalities
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Moment maps on symplectic cones
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The Lefschetz thimble and the sign problem
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Lagrangian Submanifolds and Hamiltonian Systems
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