Mathematics – Quantum Algebra
Scientific paper
2009-10-29
Mathematics
Quantum Algebra
Scientific paper
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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