Gauge theory in higher dimensions, II
S Donaldson, E Segal - arXiv preprint arXiv:0902.3239, 2009 - arxiv.org
The main aim of the paper is to develop the" Floer theory" associated to Calabi-Yau 3-folds,
exending the analogy of Thomas'" holomorphic Casson invariant". The treatment in the body …
exending the analogy of Thomas'" holomorphic Casson invariant". The treatment in the body …
Arnold conjecture and Morava K-theory
M Abouzaid, AJ Blumberg - arXiv preprint arXiv:2103.01507, 2021 - arxiv.org
We prove that the rank of the cohomology of a closed symplectic manifold with coefficients in
a field of characteristic $ p $ is smaller than the number of periodic orbits of any non …
a field of characteristic $ p $ is smaller than the number of periodic orbits of any non …
Some exotic nontrivial elements of the rational homotopy groups of
T Watanabe - arXiv preprint arXiv:1812.02448, 2018 - arxiv.org
This paper studies the rational homotopy groups of the group $\mathrm {Diff}(S^ 4) $ of self-
diffeomorphisms of $ S^ 4$ with the $ C^\infty $-topology. We present a method to prove that …
diffeomorphisms of $ S^ 4$ with the $ C^\infty $-topology. We present a method to prove that …
[图书][B] Circle-valued Morse theory
A Pajitnov - 2006 - degruyter.com
The whole field as it exists now was initiated by SP Novikov. He was motivated by his joint
work with I. Schmeltser about applications of the variational methods to the Kirchhof …
work with I. Schmeltser about applications of the variational methods to the Kirchhof …
Mayer–Vietoris property for relative symplectic cohomology
U Varolgunes - Geometry & Topology, 2021 - msp.org
Abstract We construct a Hamiltonian Floer theory-based invariant called relative symplectic
cohomology, which assigns a module over the Novikov ring to compact subsets of closed …
cohomology, which assigns a module over the Novikov ring to compact subsets of closed …
The equivariant pair-of-pants product in fixed point Floer cohomology
P Seidel - arXiv preprint arXiv:1411.2639, 2014 - arxiv.org
The Floer cohomology of a symplectic automorphism and that of its square are related by the
pair-of-pants product. For exact symplectic automorphisms, we introduce an equivariant …
pair-of-pants product. For exact symplectic automorphisms, we introduce an equivariant …
Smooth structures on Morse trajectory spaces, featuring finite ends and associative gluing
K Wehrheim - Proceedings of the Freedman Fest, 2012 - msp.org
We begin with a summary of Morse theory in order to fix notation. For more background see
eg Austin and Braam [2], Bott [3], Hutchings [9], Milnor [12], Morse [13], Schwarz [19], Weber …
eg Austin and Braam [2], Bott [3], Hutchings [9], Milnor [12], Morse [13], Schwarz [19], Weber …
Theta-graph and diffeomorphisms of some 4-manifolds
T Watanabe - arXiv preprint arXiv:2005.09545, 2020 - arxiv.org
In this article, we construct countably many mutually non-isotopic diffeomorphisms of some
closed non simply-connected 4-manifolds that are homotopic to but not isotopic to the …
closed non simply-connected 4-manifolds that are homotopic to but not isotopic to the …
Integral Arnol'd Conjecture
S Rezchikov - arXiv preprint arXiv:2209.11165, 2022 - arxiv.org
We explain how to adapt the methods of Abouzaid-McLean-Smith to the setting of
Hamiltonian Floer theory. We develop a language around equivariant``$\langle k\rangle …
Hamiltonian Floer theory. We develop a language around equivariant``$\langle k\rangle …
On moduli spaces and CW structures arising from Morse theory on Hilbert manifolds
L Qin - Journal of Topology and Analysis, 2010 - World Scientific
This paper proves some results on negative gradient dynamical systems of Morse functions
on Hilbert manifolds. It contains the compactness of flow lines, manifold structures of certain …
on Hilbert manifolds. It contains the compactness of flow lines, manifold structures of certain …