컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0476 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Geometry (SS-06) |
| 영문제목 (Title(Eng.)) |
Refined analytic torsion for twisted de Rham complexes |
| 저자(Author(s)) |
Rung-Tzung Huang1 Department of Mathematics, National Central University, Taiwan1 |
| 초록본문(Abstract) | Let $E$ be a complex flat vector bundle over a closed odd dimensional manifold $M$ endowed with a flat connection. The refined analytic torsion for $(M,E)$ was introduced and studied by Braverman and Kappeler. Recently, Mathai and Wu defined and studied the analytic torsion for the twisted de Rham complex with an odd-degree closed form $H$ as a flux. In this talk, we will discuss the construction of the refined analytic torsion for twisted de Rham complex and some of its properties. We will show that the refined analytic torsion of the twisted de Rham complex is independent of the choice of the Riemannian metric on $M$ and the Hermitian metric on $E$ and is invariant if $H$ is defomed within its cohomology class. |
| 분류기호 (MSC number(s)) |
58J52 |
| 키워드(Keyword(s)) | analytic torsion, zeta regularized determinant, eta invariant, de Rham complex |
| 강연 형태 (Language of Session (Talk)) |
English |