The Koszul-Tate type resolution for Gerstenhaber-Batalin-Vilkovisky algebras
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- Title
- The Koszul-Tate type resolution for Gerstenhaber-Batalin-Vilkovisky algebras
- Authors
- PARK, JEEHOON; Yhee, Donggeun
- Date Issued
- 2018-10
- Publisher
- SPRINGER HEIDELBERG
- Abstract
- Tate provided an explicit way to kill a nontrivial homology class of a commutative differential graded algebra over a commutative noetherian ring R in Tate (Ill J Math 1: 14-27, 1957). The goal of this article is to generalize his result to the case of GBV (Gerstenhaber-Batalin-Vilkovisky) algebras and, more generally, the descendant L-infinity-algebras. More precisely, for a given GBV algebra ((A) over tilde = circle plus(m >= 0)A(m), delta, l(2)(delta)), we provide another explicit GBV algebra ((A) over tilde = circle plus(m >= 0) (A) over tilde (m), (delta) over tilde, l(2)((delta) over tilde)) such that its total homology is the same as the degree zero part of the homology H-0(A, delta) of the given GBV algebra (A, delta, l(2)(delta)).
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/94622
- DOI
- 10.1007/s40062-018-0218-2
- ISSN
- 2193-8407
- Article Type
- Article
- Citation
- JOURNAL OF HOMOTOPY AND RELATED STRUCTURES, vol. 14, no. 2, page. 455 - 475, 2018-10
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