On the functoriality of 𝔰𝔩2 tangle
homology

Beliakova, Anna; Hogancamp, Matthew; Putyra, Krzysztof K.; Wehrli, Stephan M.

doi:10.2140/agt.2023.23.1303

Algebr. Geom. Topol.

2023

DOI: 10.2140/agt.2023.23.1303

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On the functoriality of 𝔰𝔩2 tangle homology

Anna Beliakova

Matthew Hogancamp

Krzysztof K. Putyra

et al.

Abstract: AGT peer review and production are managed by EditFlow ® from MSP.

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2024

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A deformation of Robert-Wagner foam evaluation and link homology

Khovanov,

Kitchloo

2024

Algebraic and Topological Aspects of Representation Theory

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We consider a deformation of the Robert-Wagner foam evaluation formula, with an eye toward a relation to formal groups. Integrality of the deformed evaluation is established, giving rise to state spaces for planar G L ( N ) GL(N) MOY graphs (Murakami-Ohtsuki-Yamada graphs). Skein relations for the deformation are worked out in details in the G L ( 2 ) GL(2) case. These skein relations deform G L ( 2 ) GL(2) foam relations of Beliakova, Hogancamp, Putyra and Wehrli. We establish the Reidemeister move invariance of the resulting chain complexes assigned to link diagrams, giving us a link homology theory.

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A deformation of Robert-Wagner foam evaluation and link homology

Khovanov,

Kitchloo

2024

Algebraic and Topological Aspects of Representation Theory

View full text Add to dashboard Cite

show abstract

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On the functoriality of 𝔰𝔩2 tangle homology

Abstract: AGT peer review and production are managed by EditFlow ® from MSP.

Cited by 1 publication

References 32 publications

A deformation of Robert-Wagner foam evaluation and link homology

A deformation of Robert-Wagner foam evaluation and link homology

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