Darondeau–Pragacz formulas in complex cobordism

Nakagawa, Masazumi; Naruse, Hiroshi

doi:10.1007/s00208-021-02196-5

Math. Ann.

2021

DOI: 10.1007/s00208-021-02196-5

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Darondeau–Pragacz formulas in complex cobordism

Masazumi Nakagawa

Hiroshi Naruse

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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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Darondeau–Pragacz formulas in complex cobordism

Cited by 1 publication

References 19 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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