Homotopy equivalence of A_infty bimodule under the symplectic diffeomorphim
Speaker(s): Feng Wang (Peking University)
Time: 00:00-00:00 January 7, 2013
Venue: Room 09 at Quan-Zhai (全斋), Beijing International Center for Mathematical Research, Peking University
Time: Monday Jan. 7, 2013, 7--9 pm.
Speaker: Feng Wang (Peking University).
Title: Homotopy equivalence of A_infty bimodule under the symplectic diffeomorphim
Abstract: The homotopical invariance is the fundamental property of Floer homology. Considering the case of symplectic diffeomorphim first, we use specific moduli space to construct hmomorphism between two A_infty bimodules. With the help of Whitehead lemma for A_infty bimodule homomorphism, we can achieve the goal. In this talk, I will give the geometric construction and the proof of Whitehead lemma.
Venue: Room 09 at Quan-Zhai (全斋), Beijing International Center for Mathematical Research, Peking University.