Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665837 | Advances in Mathematics | 2014 | 23 Pages |
Abstract
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 SnSn.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Benjamin Enriquez,