What is the higher dimensional infinitesimal groupoid of a manifold?
Quantum Algebra
2009-10-30 v1 Differential Geometry
Abstract
The construction (by Kapranov) of the space of infinitesimal paths on a manifold is extended to include higher dimensional infinitesimal objects, encoding contractions of infinitesimal loops. This full infinitesimal groupoid is shown to have the algebra of polyvector fields as its non-linear cohomology.
Keywords
Cite
@article{arxiv.0910.5525,
title = {What is the higher dimensional infinitesimal groupoid of a manifold?},
author = {Dennis Borisov},
journal= {arXiv preprint arXiv:0910.5525},
year = {2009}
}