G-systems and deformation of G-actions on R-d

Autor(es)

Dherin, Benoit ^[1] ; Mencattini, Igor ^[2]

Afiliação do(s) autor(es)

^[1] Univ Calif Berkeley, Dept Stat, Berkeley, CA 94720 - USA

^[2] Univ Sao Paulo, ICMC USP, BR-13566590 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Mathematical Physics; v. 55, n. 1 JAN 2014.
• Citações Web of Science: 1

Resumo

Given a (smooth) action phi of a Lie group G on R-d we construct a differential graded algebra whose Maurer-Cartan elements are in one-to-one correspondence with some class of deformations of the (induced) G-action on C-infinity(R-d){[}{[}(h) over bar]]. In the final part of this note we discuss the cohomological obstructions to the existence and to the uniqueness (in a sense to be clarified) of such deformations. (C) 2014 AIP Publishing LLC. (AU)

• Processo FAPESP: 10/15069-8 - Geometrias monoidais
• Beneficiário: Benoit Richard Umbert Dherin
• Modalidade de apoio: Auxílio à Pesquisa - Jovens Pesquisadores
• Processo FAPESP: 10/19365-0 - Geometrias monoidais
• Beneficiário: Benoit Richard Umbert Dherin
• Modalidade de apoio: Bolsas no Brasil - Jovens Pesquisadores