Deformations of circle-valued Morse functions on 2-torus
DOI10.15673/tmgc.v14i2.2008zbMath1479.57051arXiv2104.06151OpenAlexW3197458167MaRDI QIDQ5155847
Publication date: 8 October 2021
Published in: Proceedings of the International Geometry Center (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.06151
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Fundamental group, presentations, free differential calculus (57M05) Singularities of differentiable mappings in differential topology (57R45) Critical points and critical submanifolds in differential topology (57R70) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)
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Cites Work
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- Orbits of smooth functions on 2-torus and their homotopy types
- Local inverses of shift maps along orbits of flows
- Lyapunov graphs for circle valued functions
- Circle-valued Morse theory
- Circle-valued Morse theory, Reidemeister torsion, and Seiberg-Witten invariants of 3-manifolds
- Cobordism group of Morse functions on surfaces
- Topological equivalence of smooth functions with isolated critical points on a closed surface
- Circle-valued Morse theory and Reidemeister torsion
- Finite domination and Novikov rings
- The topology of spaces of Morse functions on surfaces
- Deformations of functions on surfaces by isotopic to the identity diffeomorphisms
- Homotopy types of stabilizers and orbits of Morse functions on surfaces
- A fibre bundle description of Teichmüller theory
- Teichmüller theory for surfaces with boundary
- Differentiable open maps of (p+1)-manifold to p-manifold
- On the homotopy type of spaces of Morse functions on surfaces
- Functions with isolated singularities on surfaces, II
- On the structure of a Morse form foliation
- Functions on surfaces and incompressible subsurfaces
- Homotopy dimension of orbits of Morse functions on surfaces
- Smooth functions on 2-torus whose Kronrod-Reeb graph contains a cycle
- The Hamiltonian formalism and a many-valued analogue of Morse theory
- Morse Theory. (AM-51)
- Realization of smooth functions on surfaces as height functions
- A fibre bundle description of Teichmüller theory
- Automorphisms of Kronrod-Reeb graphs of Morse functions on 2-torus
- Deformations of functions on surfaces
- The diffeomorphism group of a compact Riemann surface
- Un théorème de fonctions implicites sur certains espaces de Fréchet et quelques applications
- Le type d'homotopie du groupe des difféomorphismes d'une surface compacte
- COBORDISM GROUP OF MORSE FUNCTIONS ON UNORIENTED SURFACES
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