The augmentation category and counting augmentations of Legendrian knots

Symplectic geometry and topology

29 October 14:00 - 15:00

Lenhard Ng - Duke University

Abstract: I will give a quick (?) introduction to the augmentation category Aug_+ for Legendrian knots in R^3, and discuss some properties especially related to exact Lagrangian fillings. I'll then focus on equivalence classes of augmentations, and talk about how to count them and how they behave under exact Lagrangian cobordism. This is mainly joint work with Dan Rutherford, Vivek Shende, Steven Sivek, and Eric Zaslow.
Tobias Ekholm,
Uppsala University
Yakov Eliashberg
Stanford University
Lenhard Ng
Duke University
Ivan Smith
University of Cambridge


Tobias Ekholm


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