Topology Seminar
Some configuration and related covering spaces arising in generalizing intersection theoretic approaches to Jones polynomials
Liming Pang, NYU Courant
3:40 PM - 4:40 PM
Hylan 1106A
In this talk we’ll present some results on configuration spaces of points in surfaces with a view towards generalizing Stephen Bigelow’s intersection theoretic approach to the Jones polynomial by considering an intersection number of two submanifolds in a cover of an associated space. We use an interesting homomorphism sending braids on a punctured torus to a group which is a central extension of Z x Z by Z (very similar to the discrete Heisenberg group). This map can be used to construct two layers of covering spaces analogous to Bigelow’s covering spaces.
There will also be a pretalk at 2 p.m. in the same room.
Event contact: evidaurr at ur dot rochester dot edu
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