117 citations · 473 across the 23 of their papers we have counts for
10 papers · 1 filter
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…
Symplectically Flat Connections and Their Functionals
Li-Sheng Tseng, Jiawei Zhou
We continue our study of symplectically flat bundles. We broaden the notion of symplectically flat connections on symplectic manifolds to -flat connections on smooth manifolds.…
Symplectic Flatness and Twisted Primitive Cohomology
Li-Sheng Tseng, Jiawei Zhou
We introduce the notion of symplectic flatness for connections and fiber bundles over symplectic manifolds. Given an -algebra, we present a flatness condition that enable…
Symplectic Structures with Non-Isomorphic Primitive Cohomology on open 4-Manifolds
Matthew Gibson, Li-Sheng Tseng, Stefano Vidussi
We analyze four-dimensional symplectic manifolds of type where is an open -manifold admitting inequivalent fibrations leading to inequivalent symplectic…
Symplectic Boundary Conditions and Cohomology
Li-Sheng Tseng, Lihan Wang
We introduce new boundary conditions for differential forms on symplectic manifolds with boundary. These boundary conditions, dependent on the symplectic structure, allows us to wr…
Odd sphere bundles, symplectic manifolds, and their intersection theory
Hiro Lee Tanaka, Li-Sheng Tseng
Recently, Tsai-Tseng-Yau constructed new invariants of symplectic manifolds: a sequence of Aoo-algebras built of differential forms on the symplectic manifold. We show that these s…