• Corpus ID: 119737157

Tangent functor on microformal morphisms

  title={Tangent functor on microformal morphisms},
  author={Theodore Th. Voronov},
  journal={arXiv: Differential Geometry},
  • T. Voronov
  • Published 12 October 2017
  • Mathematics
  • arXiv: Differential Geometry
We show how the tangent functor extends naturally from ordinary smooth maps to "microformal" (or "thick") morphisms of supermanifolds, a notion that we introduced earlier. Microformal morphisms generalize ordinary maps and they can be seen as formal canonical relations between the cotangent bundles. They are specified by generating functions depending as arguments on coordinates on the source manifold and momentum variables on the target manifold, and which are formal power expansions in… 
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