2 papers
math.SG2025
Symplectic Morse Theory and Witten Deformation
David Clausen, Xiang Tang, Li-Sheng Tseng
On symplectic manifolds, we introduce a Morse-type complex with elements generated by pairs of critical points of a Morse function. The differential of the complex consists of grad…
math.DG2024
Mapping Cone and Morse Theory
David Clausen, Xiang Tang, Li-Sheng Tseng
On a smooth manifold, we associate to any closed differential form a mapping cone complex. The cohomology of this mapping cone complex can vary with the de Rham cohomology class of…