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arXiv · 0910.5525

What is the higher dimensional infinitesimal groupoid of a manifold?

Dennis Borisov
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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.

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Dennis Borisov. 2009-10-29. What is the higher dimensional infinitesimal groupoid of a manifold?. https://arxiv.org/abs/0910.5525

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