Computational tools for topological coHochschild homology

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Standard

Computational tools for topological coHochschild homology. / Bohmann, Anna Marie; Gerhardt, Teena; Høgenhaven, Amalie; Shipley, Brooke; Ziegenhagen, Stephanie.

I: Topology and Its Applications, Bind 235, 2018, s. 185-213.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Bohmann, AM, Gerhardt, T, Høgenhaven, A, Shipley, B & Ziegenhagen, S 2018, 'Computational tools for topological coHochschild homology', Topology and Its Applications, bind 235, s. 185-213. https://doi.org/10.1016/j.topol.2017.12.008

APA

Bohmann, A. M., Gerhardt, T., Høgenhaven, A., Shipley, B., & Ziegenhagen, S. (2018). Computational tools for topological coHochschild homology. Topology and Its Applications, 235, 185-213. https://doi.org/10.1016/j.topol.2017.12.008

Vancouver

Bohmann AM, Gerhardt T, Høgenhaven A, Shipley B, Ziegenhagen S. Computational tools for topological coHochschild homology. Topology and Its Applications. 2018;235:185-213. https://doi.org/10.1016/j.topol.2017.12.008

Author

Bohmann, Anna Marie ; Gerhardt, Teena ; Høgenhaven, Amalie ; Shipley, Brooke ; Ziegenhagen, Stephanie. / Computational tools for topological coHochschild homology. I: Topology and Its Applications. 2018 ; Bind 235. s. 185-213.

Bibtex

@article{36c783e64ad44fe99264218b07009bd3,
title = "Computational tools for topological coHochschild homology",
abstract = "In recent work, Hess and Shipley [18] defined a theory of topological coHochschild homology (coTHH) for coalgebras. In this paper we develop computational tools to study this new theory. In particular, we prove a Hochschild–Kostant–Rosenberg type theorem in the cofree case for differential graded coalgebras. We also develop a coB{\"o}kstedt spectral sequence to compute the homology of coTHH for coalgebra spectra. We use a coalgebra structure on this spectral sequence to produce several computations.",
keywords = "Coalgebra, Hochschild–Kostant–Rosenberg, Topological Hochschild homology",
author = "Bohmann, {Anna Marie} and Teena Gerhardt and Amalie H{\o}genhaven and Brooke Shipley and Stephanie Ziegenhagen",
year = "2018",
doi = "10.1016/j.topol.2017.12.008",
language = "English",
volume = "235",
pages = "185--213",
journal = "Topology and its Applications",
issn = "0166-8641",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Computational tools for topological coHochschild homology

AU - Bohmann, Anna Marie

AU - Gerhardt, Teena

AU - Høgenhaven, Amalie

AU - Shipley, Brooke

AU - Ziegenhagen, Stephanie

PY - 2018

Y1 - 2018

N2 - In recent work, Hess and Shipley [18] defined a theory of topological coHochschild homology (coTHH) for coalgebras. In this paper we develop computational tools to study this new theory. In particular, we prove a Hochschild–Kostant–Rosenberg type theorem in the cofree case for differential graded coalgebras. We also develop a coBökstedt spectral sequence to compute the homology of coTHH for coalgebra spectra. We use a coalgebra structure on this spectral sequence to produce several computations.

AB - In recent work, Hess and Shipley [18] defined a theory of topological coHochschild homology (coTHH) for coalgebras. In this paper we develop computational tools to study this new theory. In particular, we prove a Hochschild–Kostant–Rosenberg type theorem in the cofree case for differential graded coalgebras. We also develop a coBökstedt spectral sequence to compute the homology of coTHH for coalgebra spectra. We use a coalgebra structure on this spectral sequence to produce several computations.

KW - Coalgebra

KW - Hochschild–Kostant–Rosenberg

KW - Topological Hochschild homology

UR - http://www.scopus.com/inward/record.url?scp=85037853717&partnerID=8YFLogxK

U2 - 10.1016/j.topol.2017.12.008

DO - 10.1016/j.topol.2017.12.008

M3 - Journal article

AN - SCOPUS:85037853717

VL - 235

SP - 185

EP - 213

JO - Topology and its Applications

JF - Topology and its Applications

SN - 0166-8641

ER -

ID: 218521504