Ruprecht-Karls-Universität Heidelberg
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„Orientations of moduli spaces for Legendrian contact homology“
Dr. Cecilia Karlsson, Universität Oslo, Norwegen

In this talk, I will discuss how moduli spaces of Morse flow trees in Legendrian contact homology (LCH) can be oriented in a coherent and computable manner, obtaining a Morse-theoretic way to compute LCH with integer coefficients. This is built on the machinery of capping disks, and I will briefly explain how different systems of capping disks affect the orientations. This, in turn, uses the fact that an exact Lagrangian cobordism with cylindrical Legendrian ends induces a morphism between the LCH-complexes of the ends, which can be proven to hold also with integer coefficients.

Freitag, den 8. Februar 2019 um 14:15 Uhr, in Mathematikon, INF 205, 5.104, 5th floor Freitag, den 8. Februar 2019 at 14:15, in Mathematikon, INF 205, 5.104, 5th floor

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Dr. Peter Albers