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
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.
References
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© 2022 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Which magnetic fields support a zero mode?
- Skein lasagna modules for 2-handlebodies
- Curvature measures of pseudo-Riemannian manifolds
- Components and singularities of Quot schemes and varieties of commuting matrices
- Uniqueness of convex ancient solutions to hypersurface flows
- Level structure, arithmetic representations, and noncommutative Siegel linearization
- On tempered representations
Articles in the same Issue
- Frontmatter
- Which magnetic fields support a zero mode?
- Skein lasagna modules for 2-handlebodies
- Curvature measures of pseudo-Riemannian manifolds
- Components and singularities of Quot schemes and varieties of commuting matrices
- Uniqueness of convex ancient solutions to hypersurface flows
- Level structure, arithmetic representations, and noncommutative Siegel linearization
- On tempered representations