# Tangent functor on microformal morphisms

@article{Voronov2017TangentFO, title={Tangent functor on microformal morphisms}, author={Theodore Th. Voronov}, journal={arXiv: Differential Geometry}, year={2017} }

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…

## One Citation

Graded Geometry, Q‐Manifolds, and Microformal Geometry

- MathematicsFortschritte der Physik
- 2019

We give an exposition of graded and microformal geometry, and the language of Q‐manifolds. Q‐manifolds are supermanifolds endowed with an odd vector field of square zero. They can be seen as a…

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