Speaker: |
Wai Kit Yeung (Kavli IPMU) |
Title: |
Perverse sheaves and knot contact homology |
Date (JST): |
Thu, Jul 09, 2020, 15:30 - 17:00 |
Place: |
Zoom |
Related File: |
2555.pdf
|
Abstract: |
Knot contact homology is an invariant of knots/links originally defined by counting pseudoholomorphic disks. In this talk, we present an algebraic formalism that gives a new construction of knot contact homology (in fact an extension of it). The input for this construction is a natural braid group action on the category of perverse sheaves on the 2-dimensional disk. We also discuss relations with Fukaya categories as well as with noncommutative geometry. |