Zobrazeno 1 - 10
of 86
pro vyhledávání: '"Rajan, Amit"'
This paper studies graded manifolds with local coordinates concentrated in non-negative degrees. We provide a canonical description of these objects in terms of classical geometric data and, building on this geometric viewpoint, we prove the Frobeniu
Externí odkaz:
http://arxiv.org/abs/2402.17746
In previous work by the first two authors, Frobenius and commutative algebra objects in the category of spans of sets were characterized in terms of simplicial sets satisfying certain properties. In this paper, we find a similar characterization for
Externí odkaz:
http://arxiv.org/abs/2311.15342
We present general reduction procedures for Courant, Dirac and generalized complex structures, in particular when a group of symmetries is acting. We do so by taking the graded symplectic viewpoint on Courant algebroids and carrying out graded symple
Externí odkaz:
http://arxiv.org/abs/2306.01508
We give some new examples of Frobenius objects in the category of sets and relations $\textbf{Rel}$. One example is a groupoid with a twisted counit. Another example is the set of conjugacy classes of a group. We also classify Frobenius objects in $\
Externí odkaz:
http://arxiv.org/abs/2208.14716
Publikováno v:
In Journal of Geometry and Physics January 2025 207
Publikováno v:
Reviews in Mathematical Physics (2022)
We consider Frobenius objects in the category Span, where the objects are sets and the morphisms are isomorphism classes of spans of sets. We show that such structures are in correspondence with data that can be characterized in terms of simplicial s
Externí odkaz:
http://arxiv.org/abs/2106.14743
This paper studies differential graded modules and representations up to homotopy of Lie $n$-algebroids, for general $n\in\mathbb{N}$. The adjoint and coadjoint modules are described, and the corresponding split versions of the adjoint and coadjoint
Externí odkaz:
http://arxiv.org/abs/2001.01101
Autor:
Cueca, Miquel, Mehta, Rajan Amit
Publikováno v:
Communications in Mathematical Physics 381 (2021), 1091-1113
We give an explicit description, in terms of bracket, anchor, and pairing, of the standard cochain complex associated to a Courant algebroid. In this formulation, the differential satisfies a formula that is formally identical to the Cartan formula f
Externí odkaz:
http://arxiv.org/abs/1911.05898
Autor:
Mehta, Rajan Amit, Zhang, Ruoqi
Publikováno v:
Letters in Mathematical Physics 110 (2020), no. 7, 1941-1959
We give a characterization, in terms of simplicial sets, of Frobenius objects in the category of relations. This result generalizes a result of Heunen, Contreras, and Cattaneo showing that special dagger Frobenius objects in the category of relations
Externí odkaz:
http://arxiv.org/abs/1907.00702
Autor:
Mehta, Rajan Amit, Tang, Xiang
Publikováno v:
Letters in Mathematical Physics 108 (2018), 1203-1223
We propose a definition of symplectic 2-groupoid which includes integrations of Courant algebroids that have been recently constructed. We study in detail the simple but illustrative case of constant symplectic 2-groupoids. We show that the constant
Externí odkaz:
http://arxiv.org/abs/1702.01139