Электронная библиотека (репозиторий) Томского государственного университета
Voronov, Theodore Th.

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Add   On super Plücker embedding and cluster algebras
Authors: Shemyakova, Ekaterina S. | Voronov, Theodore Th.
Source: Selecta mathematica, New series. 2022. Vol. 28, № 2. P. 39 (1-58)
Type: статьи в журналах
Date: 2022
Description: We define a super analog of the classical Plucker embedding of the Grassmannian into a projective space. One of the difficulties of the problem is rooted in the fact that super exterior powers Lambda( ... More
Add   On differential operators over a map, thick morphisms of supermanifolds, and symplectic micromorphisms
Authors: Shemyakova, Ekaterina S. | Voronov, Theodore Th.
Source: Differential geometry and its applications. 2021. Vol. 74. P. 101704 (1-12)
Type: статьи в журналах
Date: 2021
Description: We recall the notion of a differential operator over a map (in linear and non-linear settings) and consider its versions such as formal -differential operators over a map. We study constructions and e ... More
Add   Differential operators on the algebra of densities and factorization of the generalized Sturm-Liouville operator
Authors: Shemyakova, Ekaterina S. | Voronov, Theodore Th.
Source: Letters in mathematical physics. 2019. Vol. 109, № 2. P. 403-421
Type: статьи в журналах
Date: 2019
Description: We consider factorization problem for differential operators on the commutative algebra of densities (defined either algebraically or in terms of an auxiliary extended manifold) introduced in 2004 by ... More
Add   Microformal geometry and homotopy algebras
Authors: Voronov, Theodore Th.
Source: Proceedings of the Steklov Institute of Mathematics. 2018. Vol. 302, № 1. P. 88-129
Type: статьи в журналах
Date: 2018
Description: We extend the category of (super)manifolds and their smooth mappings by introducing a notion of microformal, or “thick,” morphisms. They are formal canonical relations of a special form, constructed w ... More
Add   "Nonlinear pullbacks" of functions and L∞-morphisms for homotopy Poisson structures
Authors: Voronov, Theodore Th.
Source: Journal of geometry and physics. 2017. Vol. 111. P. 94-110
Type: статьи в журналах
Date: 2017
Description: We introduce mappings between spaces of functions on (super)manifolds that generalize pullbacks with respect to smooth maps but are, in general, nonlinear (actually, formal). The construction is based ... More
Add   Differential operators on the superline, Berezinians, and Darboux transformations
Authors: Li, Simon | Shemyakova, Ekaterina S. | Voronov, Theodore Th.
Source: Letters in mathematical physics. 2017. Vol. 107, № 9. P. 1689-1714
Type: статьи в журналах
Date: 2017
Description: We consider differential operators on a supermanifold of dimension 1|1. We define non-degenerate operators as those with an invertible top coefficient in the expansion in the ‘superderivative’ D (whic ... More
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