컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0570 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Geometry (SS-06) |
| 영문제목 (Title(Eng.)) |
Finite group actions, $G$-monopole classes, and Ricci-flow on 4-manifolds |
| 저자(Author(s)) |
Chanyoung Sung1 Konkuk University1 |
| 초록본문(Abstract) | We show that there exists a solution of Seiberg-Witten equations for any $Z_k$ invariant metric on k copies of a 4-manifold with nonzero mod 2 Seiberg-Witten invariant, where the cyclic group action is given by a cyclic permutation of $k$ summands. As an application, a connected sum of complex projective planes (with both orientations) admits an infinite family of topologically equivalent but smoothly distinct non-free actions of $Z_d$ for a non-prime integer $d>1$ such that it admits no nonsingular solution to the normalized Ricci flow for any initial metric invariant under such an action. We can also compute equivariant Yamabe invariants and orbifold Yamabe invariants of some 4-orbifolds. |
| 분류기호 (MSC number(s)) |
57R57, 57M60, 53C44 |
| 키워드(Keyword(s)) | Seiberg-Witten equations, $G$-monopole class, Ricci flow, Yamabe invariant |
| 강연 형태 (Language of Session (Talk)) |
English |