Higher braces via formal (non)commutative geometry
Algebraic Topology
2014-11-26 v1 Algebraic Geometry
Abstract
We translate the main result of author's arXiv:1309.7744 to the language of formal geometry. In this new setting we prove directly that the Koszul resp. Borjeson braces are pullbacks of linear vector fields over the formal automorphism exp(a) -1 in the Koszul, resp. a/(1-a) in the Borjeson case. We then argue that both braces are versions of the same object, once materialized in the world of formal commutative geometry, once in the non-commutative one.
Cite
@article{arxiv.1411.6964,
title = {Higher braces via formal (non)commutative geometry},
author = {Martin Markl},
journal= {arXiv preprint arXiv:1411.6964},
year = {2014}
}
Comments
Based on the author's talk at Bia{\l}owie\.za Workshop on Geometric Methods in Physics on 30th of June 2014