Refined Morse-Bott Theory with Homological Perturbation

Speaker: Bowen Chen，SIMIS        

Title: Refined Morse-Bott Theory with Homological Perturbation

Language: Chinese

Time & Venue: 2026.06.05  10:30-11:30  MCM410

Abstract: In this talk, we will review the construction of the refined Morse theory, which naturally originated from mathematical physics, as a higher topological quantum mechanical (HTQM) approach to intersection theories, such as Gromov-Witten invariants. Then we will show how to generalize the construction to Morse-Bott case, with two different homological perturbation technics involved (cascade approach and minimal Morse-Bott approach). We will compare them, to see a moduli space integral formulation for cascade case. And see a mixture of moduli space and integral kernel in minimal approach. Finally we will describe the proposal of how to rebuild the Gromov-Witten invariant in our settings.