2 papers
math.DS2024
Floer Homology: From Generalized Morse-Smale Dynamical Systems to Forman's Combinatorial Vector Fields
Marzieh Eidi, Jürgen Jost
We construct a Floer type boundary operator for generalised Morse-Smale dynamical systems on compact smooth manifolds by counting the number of suitable flow lines between closed (…
math-ph2024
Cohomological field theories and generalized Seiberg-Witten equations
Shuhan Jiang, Jürgen Jost
We introduce a formalism for constructing cohomological field theories (CohFT) out of nonlinear PDEs based on the first author's previous work (arXiv:2202.12425). We apply the form…