Friday, November 17, 2017
3:00 PM -
5:00 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.
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For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].