Infinitely many fillings through augmentations

Knots, Strings, Symplectic Geometry and Dualities

22 October 14:00 - 15:00

Lenhard Ng - Duke University

This year, a few groups of people have proved that certain Legendrian links in R^3 have infinitely many exact Lagrangian fillings that are distinct under Hamiltonian isotopy. The common approach of these groups (Casals-Gao, Gao-Shen-Wang, Casals-Zaslow) is through microlocal sheaf theory and clusters. I'll describe a different, Floer-theoretic approach to the same sort of result, using integer-valued augmentations of Legendrian contact homology, and I'll discuss some examples that are amenable to the Floer approach but not (yet?) the sheaf approach. This is joint work in progress with Roger Casals.

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Meeting ID: 921 756 1880

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Tobias Ekholm,
Uppsala University
Sergei Gukov
California Institute of Technology, Caltech
Vivek Shende
University of California, Berkeley


Tobias Ekholm


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