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WHAT IS THE HIGHER-DIMENSIONAL INFINITESIMAL GROUPOID OF A MANIFOLD?

Published online by Cambridge University Press:  14 June 2011

DENNIS BORISOV*
Affiliation:
Max Planck Institute for Mathematics, PO Box 7280, 53072 Bonn, Germany (email: dennis.borisov@gmail.com)
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Abstract

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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 nonlinear cohomology.

Information

Type
Research Article
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

References

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