Geometry Colloquium: Evaluation of Euler Number of Complex Grassmann Manifold G(k, N) via Mathai-Quillen Formalism（秦泉寺雅夫）※オンライン開催に変更しました

Time： 16:30-18:00

Place：Faculty of Science Building  #3, Room 204 
※オンライン開催（開催情報は小林真平までお問い合わせください）2021.9.9更新

Speaker： 秦泉寺 雅夫（岡山大学）

Title：Evaluation of Euler Number of Complex Grassmann Manifold G(k, N) via Mathai-Quillen Formalism”（今西翔一郎氏、桑田健氏との共同研究）

Abstract :  In this talk, we provide a recipe for computing Euler number of Grassmann manifold G(k,N) by using Mathai-Quillen formalism (MQ formalism) and Atiyah-Jeffrey construction. Especially, we construct path-integral representation of Euler number of G(k,N). Our model corresponds to a finite dimensional toy-model of topological Yang-Mills theory which motivated Atiyah-Jeffrey construction. As a by-product, we construct free fermion realization of cohomology ring of G(k,N).