Hochschild homology of structured algebras

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Hochschild homology of structured algebras. / Wahl, Nathalie; Westerland, Craig Christopher.

In: Advances in Mathematics, Vol. 288, 22.01.2016, p. 240–307.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Wahl, N & Westerland, CC 2016, 'Hochschild homology of structured algebras', Advances in Mathematics, vol. 288, pp. 240–307. https://doi.org/10.1016/j.aim.2015.10.017

APA

Wahl, N., & Westerland, C. C. (2016). Hochschild homology of structured algebras. Advances in Mathematics, 288, 240–307. https://doi.org/10.1016/j.aim.2015.10.017

Vancouver

Wahl N, Westerland CC. Hochschild homology of structured algebras. Advances in Mathematics. 2016 Jan 22;288:240–307. https://doi.org/10.1016/j.aim.2015.10.017

Author

Wahl, Nathalie ; Westerland, Craig Christopher. / Hochschild homology of structured algebras. In: Advances in Mathematics. 2016 ; Vol. 288. pp. 240–307.

Bibtex

@article{4ebd3f90c7aa4128bded3165b7a1276e,
title = "Hochschild homology of structured algebras",
abstract = "We give a general method for constructing explicit and natural operations on the Hochschild complex of algebras over any prop with A∞-multiplication—we think of such algebras as A∞-algebras “with extra structure”. As applications, we obtain an integral version of the Costello–Kontsevich–Soibelman moduli space action on the Hochschild complex of open TCFTs, the Tradler–Zeinalian and Kaufmann actions of Sullivan diagrams on the Hochschild complex of strict Frobenius algebras, and give applications to string topology in characteristic zero. Our main tool is a generalization of the Hochschild complex.",
keywords = "math.AT, math.QA",
author = "Nathalie Wahl and Westerland, {Craig Christopher}",
year = "2016",
month = jan,
day = "22",
doi = "10.1016/j.aim.2015.10.017",
language = "English",
volume = "288",
pages = "240–307",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press",

}

RIS

TY - JOUR

T1 - Hochschild homology of structured algebras

AU - Wahl, Nathalie

AU - Westerland, Craig Christopher

PY - 2016/1/22

Y1 - 2016/1/22

N2 - We give a general method for constructing explicit and natural operations on the Hochschild complex of algebras over any prop with A∞-multiplication—we think of such algebras as A∞-algebras “with extra structure”. As applications, we obtain an integral version of the Costello–Kontsevich–Soibelman moduli space action on the Hochschild complex of open TCFTs, the Tradler–Zeinalian and Kaufmann actions of Sullivan diagrams on the Hochschild complex of strict Frobenius algebras, and give applications to string topology in characteristic zero. Our main tool is a generalization of the Hochschild complex.

AB - We give a general method for constructing explicit and natural operations on the Hochschild complex of algebras over any prop with A∞-multiplication—we think of such algebras as A∞-algebras “with extra structure”. As applications, we obtain an integral version of the Costello–Kontsevich–Soibelman moduli space action on the Hochschild complex of open TCFTs, the Tradler–Zeinalian and Kaufmann actions of Sullivan diagrams on the Hochschild complex of strict Frobenius algebras, and give applications to string topology in characteristic zero. Our main tool is a generalization of the Hochschild complex.

KW - math.AT

KW - math.QA

U2 - 10.1016/j.aim.2015.10.017

DO - 10.1016/j.aim.2015.10.017

M3 - Journal article

VL - 288

SP - 240

EP - 307

JO - Advances in Mathematics

JF - Advances in Mathematics

SN - 0001-8708

ER -

ID: 45324753