2 papers
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…
math.SG2022
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…