Skein lasagna modules for 2-handlebodies

Ciprian Manolescu; Ikshu Neithalath

doi:10.1515/crelle-2022-0021

Skein lasagna modules for 2-handlebodies

Ciprian Manolescu^*, Ikshu Neithalath

^*Kontaktforfatter

Stanford University

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

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.

Originalsprog	Engelsk
Tidsskrift	Journal fur die Reine und Angewandte Mathematik
Vol/bind	2022
Udgave nummer	788
Sider (fra-til)	37-76
ISSN	0075-4102
DOI	https://doi.org/10.1515/crelle-2022-0021
Status	Udgivet - 1. jul. 2022

Bibliografisk note

Publisher Copyright:
© 2022 Walter de Gruyter GmbH, Berlin/Boston 2022 The authors were supported by NSF grants DMS-1708320 and DMS-2003488.

Dokumenter og links

10.1515/crelle-2022-0021

https://arxiv.org/pdf/2009.08520.pdf

Citationsformater

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T1 - Skein lasagna modules for 2-handlebodies

AU - Manolescu, Ciprian

AU - Neithalath, Ikshu

PY - 2022/7/1

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N2 - 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.

AB - 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.

U2 - 10.1515/crelle-2022-0021

DO - 10.1515/crelle-2022-0021

M3 - Journal article

AN - SCOPUS:85129949002

SN - 0075-4102

VL - 2022

SP - 37

EP - 76

JO - Journal fur die Reine und Angewandte Mathematik

JF - Journal fur die Reine und Angewandte Mathematik

IS - 788

ER -

Skein lasagna modules for 2-handlebodies

Abstract

Bibliografisk note

Dokumenter og links

Fingeraftryk

Citationsformater