Online Archive of University of Virginia Scholarship
Khovanov homology and the skein lasagna module281 views
Author
Moyar, Luke, Mathematics, University of Virginia
Advisors
Krushkal, Slava, Mathematics, University of Virginia
Abstract
In this paper, we discuss two related invariants in quantum topology. The first is Khovanov homology, a link invariant first developed by Khovanov as a categorification of the Jones polynomial. The second is the skein lasagna module, a 4-manifold invariant first developed by Morrison-Walker-Wedrich and defined using a variation of Khovanov homology. We detail constructions and properties of each invariant as well as a result of Manolescu and Neithalath for computing the skein lasagna module of 2-handlebodies.
Moyar, Luke. Khovanov homology and the skein lasagna module. University of Virginia, Mathematics, BA (Bachelor of Arts), 2026-05-03, https://doi.org/10.18130/6hag-ps51.
