“Nonlinear pullbacks” of functions and L∞-morphisms for homotopy Poisson structures

@article{Voronov2017NonlinearPO,
  title={“Nonlinear pullbacks” of functions and L∞-morphisms for homotopy Poisson structures},
  author={Theodore Th. Voronov},
  journal={Journal of Geometry and Physics},
  year={2017},
  volume={111},
  pages={94-110}
}
  • T. Voronov
  • Published 23 September 2014
  • Mathematics
  • Journal of Geometry and Physics
View PDF on arXiv
13 Citations
Highly Influential Citations
1
Background Citations
4
Methods Citations
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13 Citations

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Microformal Geometry and Homotopy Algebras
  • T. Voronov
  • Mathematics
    Proceedings of the Steklov Institute of Mathematics
  • 2018
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References

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THICK MORPHISMS OF SUPERMANIFOLDS AND OSCILLATORY INTEGRAL OPERATORS
We show that thick morphisms (or microformal morphisms) between smooth (super)manifolds, introduced by us before, are classical limits of 'quantum thick morphisms' defined here as particular…
Higher derived brackets and homotopy algebras
Deformation Quantization of Poisson Manifolds
I prove that every finite-dimensional Poisson manifold X admits a canonical deformation quantization. Informally, it means that the set of equivalence classes of associative algebras close to the…
Quantum microformal morphisms of supermanifolds: an explicit formula and further properties
We give an explicit formula, as a formal differential operator, for quantum microformal morphisms of (super)manifolds that we introduced earlier. Such quantum microformal morphisms are essentially…
Noncommutative Differential Forms and Quantization of the Odd Symplectic Category
There is a simple and natural quantization of differential forms on odd Poisson supermanifolds, given by the relation [f,dg]={f,g} for all functions f and g. We notice that this noncommutative…
Symplectic Categories
Quantization problems suggest that the category of symplectic manifolds and symplectomorphisms be augmented by the inclusion of canonical relations as morphisms. These relations compose well when a…
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On Odd Laplace Operators
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EXTENSION OF REPRESENTATIONS OF THE CLASSICAL GROUPS TO REPRESENT A nONS OF CA TEGORIES
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