Higher braces via formal (non)commutative geometry

0449245 - MÚ 2016 RIV CH eng C - Conference Paper (international conference)
Markl, Martin
Higher braces via formal (non)commutative geometry.
Geometric Methods in Physics. Cham: Birkhäuser, 2015 - (Kielanowski, P.; Bieliavsky, P.; Odzijewicz, A.; Schlichenmaier, M.; Voronov, T.), s. 67-81. Trends in Mathematics. ISBN 978-3-319-18211-7.
[Workshop on Geometric Methods in Physics /33./. Białowieża (PL), 29.06.2014-05.07.2014]
Institutional support: RVO:67985840
Keywords : Koszul braces * Börjeseon braces * (non)commutative geometry
Subject RIV: BA - General Mathematics
http://link.springer.com/chapter/10.1007/978-3-319-18212-4_4

We translate the main result of [11] to the language of formal geometry. In this new setting we prove directly that the Koszul resp. Börjeson braces are pullbacks of linear vector lields over the formal automorphism ... in the Koszul, resp. ... in the Börjeson case. We than argue that both braces are versions of the same object, once materialized in the world of formal commutative geometry, once in the noncommutative one.
Permanent Link: http://hdl.handle.net/11104/0250828