Morse theory without nondegeneracy
| Autor: | Geoffrey Penington, Frances Kirwan |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Connected component
Mathematics - Differential Geometry High Energy Physics - Theory Pure mathematics General Mathematics 010102 general mathematics FOS: Physical sciences Extension (predicate logic) 01 natural sciences 010101 applied mathematics Differential Geometry (math.DG) High Energy Physics - Theory (hep-th) FOS: Mathematics Algebraic Topology (math.AT) Mathematics::Differential Geometry Mathematics - Algebraic Topology 0101 mathematics Locus (mathematics) Mathematics::Symplectic Geometry Mathematics Morse theory |
| Popis: | We describe an extension of Morse theory to smooth functions on compact Riemannian manifolds, without any nondegeneracy assumptions except that the critical locus must have only finitely many connected components. 39 pages, 2 figures, v2 added examples and other small changes |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|