Chen–Khovanov Spectra for Tangles

Tyler Lawson; Robert Lipshitz; Sucharit Sarkar

doi:10.1307/mmj/20195816

Chen–Khovanov Spectra for Tangles

Tyler Lawson, Robert Lipshitz, Sucharit Sarkar

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

2 Scopus citations

Abstract

We note that our stable homotopy refinements of Khovanov’s arc algebras and tangle invariants induce refinements of Chen–Khovanov and Stroppel’s platform algebras and tangle invariants, and discuss the topological Hochschild homology of these refinements.

Original language	English (US)
Pages (from-to)	401-443
Number of pages	43
Journal	Michigan Mathematical Journal
Volume	71
Issue number	2
DOIs	https://doi.org/10.1307/mmj/20195816
State	Published - 2022
Externally published	Yes

Bibliographical note

Funding Information:
Received October 19, 2019. Revision received March 5, 2020. TL was supported by NSF FRG Grant DMS-1560699. RL was supported by NSF FRG Grant DMS-1560783. SS was supported by NSF FRG Grant DMS-1563615.

Publisher Copyright:
© 2022 University of Michigan. All rights reserved.

Access

10.1307/mmj/20195816

OpenUrl availability

Full text

Cite this

@article{c8c6ecf0c897496895460bd6b2434ce8,

title = "Chen–Khovanov Spectra for Tangles",

abstract = "We note that our stable homotopy refinements of Khovanov{\textquoteright}s arc algebras and tangle invariants induce refinements of Chen–Khovanov and Stroppel{\textquoteright}s platform algebras and tangle invariants, and discuss the topological Hochschild homology of these refinements.",

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

note = "Funding Information: Received October 19, 2019. Revision received March 5, 2020. TL was supported by NSF FRG Grant DMS-1560699. RL was supported by NSF FRG Grant DMS-1560783. SS was supported by NSF FRG Grant DMS-1563615. Publisher Copyright: {\textcopyright} 2022 University of Michigan. All rights reserved.",

year = "2022",

doi = "10.1307/mmj/20195816",

language = "English (US)",

volume = "71",

pages = "401--443",

journal = "Michigan Mathematical Journal",

issn = "0026-2285",

publisher = "University of Michigan",

number = "2",

}

TY - JOUR

T1 - Chen–Khovanov Spectra for Tangles

AU - Lawson, Tyler

AU - Lipshitz, Robert

AU - Sarkar, Sucharit

N1 - Funding Information: Received October 19, 2019. Revision received March 5, 2020. TL was supported by NSF FRG Grant DMS-1560699. RL was supported by NSF FRG Grant DMS-1560783. SS was supported by NSF FRG Grant DMS-1563615. Publisher Copyright: © 2022 University of Michigan. All rights reserved.

PY - 2022

Y1 - 2022

N2 - We note that our stable homotopy refinements of Khovanov’s arc algebras and tangle invariants induce refinements of Chen–Khovanov and Stroppel’s platform algebras and tangle invariants, and discuss the topological Hochschild homology of these refinements.

AB - We note that our stable homotopy refinements of Khovanov’s arc algebras and tangle invariants induce refinements of Chen–Khovanov and Stroppel’s platform algebras and tangle invariants, and discuss the topological Hochschild homology of these refinements.

UR - http://www.scopus.com/inward/record.url?scp=85133210372&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85133210372&partnerID=8YFLogxK

U2 - 10.1307/mmj/20195816

DO - 10.1307/mmj/20195816

M3 - Article

AN - SCOPUS:85133210372

SN - 0026-2285

VL - 71

SP - 401

EP - 443

JO - Michigan Mathematical Journal

JF - Michigan Mathematical Journal

IS - 2

ER -

Chen–Khovanov Spectra for Tangles

Abstract

Bibliographical note

Access

OpenUrl availability

Other files and links

Fingerprint

Cite this