Homotopy functoriality for Khovanov spectra

Tyler Lawson; Robert Lipshitz; Sucharit Sarkar

doi:10.1112/topo.12274

Homotopy functoriality for Khovanov spectra

Tyler Lawson, Robert Lipshitz, Sucharit Sarkar

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that the Khovanov spectra associated to links and tangles are functorial up to homotopy and sign.

Original language	English (US)
Pages (from-to)	2426-2471
Number of pages	46
Journal	Journal of Topology
Volume	15
Issue number	4
DOIs	https://doi.org/10.1112/topo.12274
State	Published - Dec 2022

Bibliographical note

Funding Information:
TL was supported by NSF FRG Grant DMS‐1560699. RL was supported by NSF Grant DMS‐1810893. SS was supported by NSF Grant DMS‐1905717.

Publisher Copyright:
© 2022 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.

Publisher link

10.1112/topo.12274

Find It

Find It at U of M Libraries

Cite this

@article{95c49a9ce9e545a59d1a7ff36f5e16d3,

title = "Homotopy functoriality for Khovanov spectra",

abstract = "We prove that the Khovanov spectra associated to links and tangles are functorial up to homotopy and sign.",

author = "Tyler Lawson and Robert Lipshitz and Sucharit Sarkar",

note = "Funding Information: TL was supported by NSF FRG Grant DMS‐1560699. RL was supported by NSF Grant DMS‐1810893. SS was supported by NSF Grant DMS‐1905717. Publisher Copyright: {\textcopyright} 2022 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.",

year = "2022",

month = dec,

doi = "10.1112/topo.12274",

language = "English (US)",

volume = "15",

pages = "2426--2471",

journal = "Journal of Topology",

issn = "1753-8416",

publisher = "John Wiley and Sons Ltd",

number = "4",

}

TY - JOUR

T1 - Homotopy functoriality for Khovanov spectra

AU - Lawson, Tyler

AU - Lipshitz, Robert

AU - Sarkar, Sucharit

N1 - Funding Information: TL was supported by NSF FRG Grant DMS‐1560699. RL was supported by NSF Grant DMS‐1810893. SS was supported by NSF Grant DMS‐1905717. Publisher Copyright: © 2022 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.

PY - 2022/12

Y1 - 2022/12

N2 - We prove that the Khovanov spectra associated to links and tangles are functorial up to homotopy and sign.

AB - We prove that the Khovanov spectra associated to links and tangles are functorial up to homotopy and sign.

UR - http://www.scopus.com/inward/record.url?scp=85144173212&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85144173212&partnerID=8YFLogxK

U2 - 10.1112/topo.12274

DO - 10.1112/topo.12274

M3 - Article

AN - SCOPUS:85144173212

SN - 1753-8416

VL - 15

SP - 2426

EP - 2471

JO - Journal of Topology

JF - Journal of Topology

IS - 4

ER -

Homotopy functoriality for Khovanov spectra

Abstract

Bibliographical note

Publisher link

Find It

Other files and links

Fingerprint

Cite this