Friday, November 17, 2017
3:00 pm
Building 15, Room 104

Geometry and Topology Seminar

Bordered theory for pillowcase homology
Artem Kotelskiy, Department of Mathematics, Princeton University
Pillowcase homology is a geometric construction, which was developed in order to better understand and compute a knot invariant called singular instanton knot homology. We will describe an algebraic extension of pillowcase homology. First we will associate an algebra A to the pillowcase. Then to an immersed curve L inside the pillowcase we will associate an A∞ module M(L) over A. Then we will show how, using these modules and a certain type DD structure, one can recover and compute Lagrangian Floer homology for immersed curves.
Contact Mathematics Department mathinfo@caltech.edu at 626-395-4335
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