KHOVANOV SPECTRA for TANGLES

Tyler Lawson; Robert Lipshitz; Sucharit Sarkar

doi:10.1017/S147474802100044X

KHOVANOV SPECTRA for TANGLES

Tyler Lawson, Robert Lipshitz, Sucharit Sarkar

School of Mathematics

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

Abstract

We define stable homotopy refinements of Khovanov's arc algebras and tangle invariants.

Original language	English (US)
Journal	Journal of the Institute of Mathematics of Jussieu
DOIs	https://doi.org/10.1017/S147474802100044X
State	Accepted/In press - 2021

Bibliographical note

Funding Information:
We thank Finn Lawler for pointing us to [] and Andrew Blumberg and Aaron Royer for helpful conversations. Finally, we thank the referee for more helpful comments and corrections. TL was supported by NSF Grant DMS-1206008 and NSF FRG Grant DMS-1560699. RL was supported by NSF Grant DMS-1149800 and NSF FRG Grant DMS-1560783. SS was supported by NSF Grant DMS-1643401 and NSF FRG Grant DMS-1563615.

Publisher Copyright:
© The Author(s), 2021. Published by Cambridge University Press.

Keywords

Floer homotopy
Khovanov homology
ring spectra
tangles

Publisher link

10.1017/S147474802100044X

Cite this

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title = "KHOVANOV SPECTRA for TANGLES",

abstract = "We define stable homotopy refinements of Khovanov's arc algebras and tangle invariants. ",

keywords = "Floer homotopy, Khovanov homology, ring spectra, tangles",

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

note = "Funding Information: We thank Finn Lawler for pointing us to [] and Andrew Blumberg and Aaron Royer for helpful conversations. Finally, we thank the referee for more helpful comments and corrections. TL was supported by NSF Grant DMS-1206008 and NSF FRG Grant DMS-1560699. RL was supported by NSF Grant DMS-1149800 and NSF FRG Grant DMS-1560783. SS was supported by NSF Grant DMS-1643401 and NSF FRG Grant DMS-1563615. Publisher Copyright: {\textcopyright} The Author(s), 2021. Published by Cambridge University Press.",

year = "2021",

doi = "10.1017/S147474802100044X",

language = "English (US)",

journal = "Journal of the Institute of Mathematics of Jussieu",

issn = "1474-7480",

publisher = "Cambridge University Press",

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T1 - KHOVANOV SPECTRA for TANGLES

AU - Lawson, Tyler

AU - Lipshitz, Robert

AU - Sarkar, Sucharit

N1 - Funding Information: We thank Finn Lawler for pointing us to [] and Andrew Blumberg and Aaron Royer for helpful conversations. Finally, we thank the referee for more helpful comments and corrections. TL was supported by NSF Grant DMS-1206008 and NSF FRG Grant DMS-1560699. RL was supported by NSF Grant DMS-1149800 and NSF FRG Grant DMS-1560783. SS was supported by NSF Grant DMS-1643401 and NSF FRG Grant DMS-1563615. Publisher Copyright: © The Author(s), 2021. Published by Cambridge University Press.

PY - 2021

Y1 - 2021

N2 - We define stable homotopy refinements of Khovanov's arc algebras and tangle invariants.

AB - We define stable homotopy refinements of Khovanov's arc algebras and tangle invariants.

KW - Floer homotopy

KW - Khovanov homology

KW - ring spectra

KW - tangles

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U2 - 10.1017/S147474802100044X

DO - 10.1017/S147474802100044X

M3 - Article

AN - SCOPUS:85116519075

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JO - Journal of the Institute of Mathematics of Jussieu

JF - Journal of the Institute of Mathematics of Jussieu

ER -

KHOVANOV SPECTRA for TANGLES

Abstract

Bibliographical note

Keywords

Publisher link

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