Geometry and Topology Seminar——Grid homology for singular links in lens space and a resolution cube
报告人：肖咏涵（304am永利集团）
时间：2025-03-19 15:10-17:00
地点：智华楼四元厅
【摘要】
For a singular link in any lens space L(p,q), we construct various versions of grid homology for it. Using this we prove the existence of an oriented skein exact sequence and oriented resolution cube for grid homology of regular links in lens spaces. Using sign assignments, we can do all this using integer coefficient and we also identify this with the holomorphic knot Floer homology over integer ring.
In the first part of the talk, we review basics on grid homology theory and singular links and present some of their applications. In the second half, we show how to generalize them to our setting and provide a proof sketch of results mentioned above. If time permits, we briefly introduce how things work in integer coefficients.
