Home > Research > Publications & Outputs > Unimodular homotopy algebras and Chern-Simons t...

Research

Associated organisational unit

Electronic data

  • 1309.3219v3

    Accepted author manuscript, 430 KB, PDF document

Links

Text available via DOI:

View graph of relations

Unimodular homotopy algebras and Chern-Simons theory

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published

Standard

Unimodular homotopy algebras and Chern-Simons theory. / Braun, Christopher; Lazarev, Andrey.
In: Journal of Pure and Applied Algebra, Vol. 219, No. 11, 11.2015, p. 5158-5194.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Braun, C & Lazarev, A 2015, 'Unimodular homotopy algebras and Chern-Simons theory', Journal of Pure and Applied Algebra, vol. 219, no. 11, pp. 5158-5194. https://doi.org/10.1016/j.jpaa.2015.05.017

APA

Braun, C., & Lazarev, A. (2015). Unimodular homotopy algebras and Chern-Simons theory. Journal of Pure and Applied Algebra, 219(11), 5158-5194. https://doi.org/10.1016/j.jpaa.2015.05.017

Vancouver

Braun C, Lazarev A. Unimodular homotopy algebras and Chern-Simons theory. Journal of Pure and Applied Algebra. 2015 Nov;219(11):5158-5194. Epub 2015 May 27. doi: 10.1016/j.jpaa.2015.05.017

Author

Braun, Christopher ; Lazarev, Andrey. / Unimodular homotopy algebras and Chern-Simons theory. In: Journal of Pure and Applied Algebra. 2015 ; Vol. 219, No. 11. pp. 5158-5194.

Bibtex

@article{bbdfbea5b57d405981008eab3698c706,
title = "Unimodular homotopy algebras and Chern-Simons theory",
abstract = "Quantum Chern–Simons invariants of differentiable manifolds are analyzed from the point of view of homological algebra. Given a manifold M and a Lie (or, more generally, an L∞) algebra g, the vector space H⁎(M)⊗g has the structure of an L∞ algebra whose homotopy type is a homotopy invariant of M . We formulate necessary and sufficient conditions for this L∞ algebra to have a quantum lift. We also obtain structural results on unimodular L∞ algebras and introduce a doubling construction which links unimodular and cyclic L∞ algebras.",
author = "Christopher Braun and Andrey Lazarev",
year = "2015",
month = nov,
doi = "10.1016/j.jpaa.2015.05.017",
language = "English",
volume = "219",
pages = "5158--5194",
journal = "Journal of Pure and Applied Algebra",
issn = "0022-4049",
publisher = "Elsevier",
number = "11",

}

RIS

TY - JOUR

T1 - Unimodular homotopy algebras and Chern-Simons theory

AU - Braun, Christopher

AU - Lazarev, Andrey

PY - 2015/11

Y1 - 2015/11

N2 - Quantum Chern–Simons invariants of differentiable manifolds are analyzed from the point of view of homological algebra. Given a manifold M and a Lie (or, more generally, an L∞) algebra g, the vector space H⁎(M)⊗g has the structure of an L∞ algebra whose homotopy type is a homotopy invariant of M . We formulate necessary and sufficient conditions for this L∞ algebra to have a quantum lift. We also obtain structural results on unimodular L∞ algebras and introduce a doubling construction which links unimodular and cyclic L∞ algebras.

AB - Quantum Chern–Simons invariants of differentiable manifolds are analyzed from the point of view of homological algebra. Given a manifold M and a Lie (or, more generally, an L∞) algebra g, the vector space H⁎(M)⊗g has the structure of an L∞ algebra whose homotopy type is a homotopy invariant of M . We formulate necessary and sufficient conditions for this L∞ algebra to have a quantum lift. We also obtain structural results on unimodular L∞ algebras and introduce a doubling construction which links unimodular and cyclic L∞ algebras.

U2 - 10.1016/j.jpaa.2015.05.017

DO - 10.1016/j.jpaa.2015.05.017

M3 - Journal article

VL - 219

SP - 5158

EP - 5194

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

IS - 11

ER -