Flat connections on configuration spaces and braid groups of surfaces

Autor:	Benjamin Enriquez
Rok vydání:	2014
Předmět:	Algebra Semidirect product Pure mathematics Symmetric group Group (mathematics) General Mathematics Braid group Lie algebra Lawrence–Krammer representation Configuration space Braid theory Mathematics
Zdroj:	Advances in Mathematics. 252:204-226
ISSN:	0001-8708
Popis:	We construct an explicit bundle with flat connection on the configuration space of n points on a complex curve. This enables one to recover the ‘1-formality’ isomorphism between the Lie algebra of the prounipotent completion of the pure braid group of n points on a surface and an explicitly presented Lie algebra, and to extend it to a morphism from the full braid group of the surface to the semidirect product of the associated group with the symmetric group S n .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c1454ebca68dd43fd5e847f48e7774ae https://doi.org/10.1016/j.aim.2013.10.025 Zobrazit plný text záznamu Full Text from ScienceDirect