Koszul A∞-algebras and free loop space homology
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Koszul A∞-algebras and free loop space homology. / Berglund, Alexander; Börjeson, Kaj.
In: Proceedings of the Edinburgh Mathematical Society, Vol. 63, No. 1, 2020, p. 37-65.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Koszul A∞-algebras and free loop space homology
AU - Berglund, Alexander
AU - Börjeson, Kaj
PY - 2020
Y1 - 2020
N2 - We introduce a notion of Koszul A-algebra that generalizes Priddy's notion of a Koszul algebra and we use it to construct small A-algebra models for Hochschild cochains. As an application, this yields new techniques for computing free loop space homology algebras of manifolds that are either formal or coformal (over a field or over the integers). We illustrate these techniques in two examples.
AB - We introduce a notion of Koszul A-algebra that generalizes Priddy's notion of a Koszul algebra and we use it to construct small A-algebra models for Hochschild cochains. As an application, this yields new techniques for computing free loop space homology algebras of manifolds that are either formal or coformal (over a field or over the integers). We illustrate these techniques in two examples.
KW - A algebras
KW - Koszul duality
KW - loop spaces
UR - http://www.scopus.com/inward/record.url?scp=85069521834&partnerID=8YFLogxK
U2 - 10.1017/S0013091519000154
DO - 10.1017/S0013091519000154
M3 - Journal article
AN - SCOPUS:85069521834
VL - 63
SP - 37
EP - 65
JO - Proceedings of the Edinburgh Mathematical Society
JF - Proceedings of the Edinburgh Mathematical Society
SN - 0013-0915
IS - 1
ER -
ID: 226948961