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Skein lasagna modules for 2-handlebodies

  • Ciprian Manolescu ORCID logo EMAIL logo and Ikshu Neithalath ORCID logo
Published/Copyright: April 28, 2022

Abstract

Morrison, Walker, and Wedrich used the blob complex to construct a generalization of Khovanov–Rozansky homology to links in the boundary of a 4-manifold. The degree zero part of their theory, called the skein lasagna module, admits an elementary definition in terms of certain diagrams in the 4-manifold. We give a description of the skein lasagna module for 4-manifolds without 1- and 3-handles, and present some explicit calculations for disk bundles over S2.

Funding statement: The authors were supported by NSF grants DMS-1708320 and DMS-2003488.

Acknowledgements

We are grateful to John Baldwin, Gage Martin, Sucharit Sarkar, Paul Wedrich and Mike Willis for helpful conversations. We also thank the referees for helpful comments on the paper.

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Received: 2020-03-03
Revised: 2022-01-11
Published Online: 2022-04-28
Published in Print: 2022-07-01

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