Some Morse-type inequalities for symplectic manifolds
Thomas Machon
TL;DR
This paper establishes Morse-type inequalities for symplectic manifolds using symplectic versions of Bott-Chern and Aeppli cohomology groups, extending classical Morse theory to symplectic geometry.
Contribution
It introduces Morse inequalities for symplectic cohomology groups, providing new tools for studying symplectic manifolds.
Findings
Morse inequalities for symplectic Bott-Chern cohomology
Morse inequalities for symplectic Aeppli cohomology
Extension of Morse theory to symplectic geometry
Abstract
Morse-type inequalities are given for the symplectic versions of the Bott-Chern and Aeppli cohomology groups defined by Tseng and Yau.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry