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arXiv · 1907.12194

Invariants of 4-manifolds from Khovanov-Rozansky link homology

Scott Morrison·Kevin Walker·Paul Wedrich
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Abstract

We use Khovanov-Rozansky gl(N) link homology to define invariants of oriented smooth 4-manifolds, as skein modules constructed from certain 4-categories with well-behaved duals. The technical heart of this construction is a proof of the sweep-around property, which makes these link homologies well defined in the 3-sphere.

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Scott Morrison, Kevin Walker, Paul Wedrich. 2019-07-29. Invariants of 4-manifolds from Khovanov-Rozansky link homology. https://doi.org/10.2140/gt.2022.26.3367

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