Title: Degree-one Map between 3-mfds: from Dehn Surgery Viewpoint

Speaker: 樊昊霏 (Peking University)

Time: March 2nd, 3:10pm - 5:00pm

Address: Room 1328 at BICMR, Resource Plaza, Peking University

Abstract:我将介绍怎样以 Dehn Surgery 的观点描述三维定向闭流形的1-度映射。也就是从M到N的1-度映射的存在性等价于M可以由N沿着一个每个部分都是unknot的链环做Dehn Surgery得到。并介绍相关的基本概念和定理。References:

1. Siddhartha. Gadgil, 'Degree-one Maps, Surgery and Four-Manifolds', arxiv(2008)

2. Y.W.Rong and S.Wang, 'The preimage of submanifolds', Math. Proc. Cambridge Philos. Soc. 112 (1992), 271-279

3. M.Boileau and S.Wang,'Non-zero degree maps and surface bundles over S^1'. J.Differtial Geom. 43(1996), 789-806