Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Bressler, Paul"'
Autor:
Bressler, Paul, Rojas, Juan Diego
Publikováno v:
Theorey and Applications of Categories, Vol. 38, No. 3, 2022, pp. 64-100
DQ-algebroids locally defined on a symplectic manifold form a 2-gerbe. By adapting the method of P. Deligne to the setting of DQ-algebroids we show that this 2-gerbe admits a canonical global section, namely that every symplectic manifold admits a ca
Externí odkaz:
http://arxiv.org/abs/2304.03332
N.C.Leung and V.Reiner showed that certain convexity conditions on a complete rational simplicial fan determine the sign of the signature of the Poincar\'e pairing on the cohomology of the associated toric variety. The purpose of the present article
Externí odkaz:
http://arxiv.org/abs/2304.03252
Autor:
Bressler, Paul, Rengifo, Camilo
The "odd transgression" introduced by the authors in an earlier article is applied to construct and study the inverse image functor in the theory of Courant algebroids.
Externí odkaz:
http://arxiv.org/abs/2009.12282
Fof a nilpotent differential graded Lie algebra whose components vanish in degrees below -1 we construct an explicit equivalence between the nerve of the Deligne 2-groupoid and the simplicial set of differential forms with values in the Lie algebra i
Externí odkaz:
http://arxiv.org/abs/1906.11977
Autor:
Bressler, Paul, Rengifo, Camilo
We define the transgression functor which associates to a (higher-dimensional) Courant algebroid on a manifold a Lie algebroid on the shifted tangent bundle of the manifold.
Externí odkaz:
http://arxiv.org/abs/1802.07667
Autor:
Bressler, Paul, Rengifo, Camilo
Publikováno v:
In Journal of Geometry and Physics January 2021 159
Publikováno v:
Compositio Math. 153 (2017) 41-67
We determine the additional structure which arises on the classical limit of a DQ-algebroid.
Comment: 27 pages
Comment: 27 pages
Externí odkaz:
http://arxiv.org/abs/1510.01361
We extend the formality theorem of Maxim Kontsevich from deformations of the structure sheaf on a manifold to deformations of gerbes on smooth and complex manifolds.
Comment: arXiv admin note: substantial text overlap with arXiv:0903.1841
Comment: arXiv admin note: substantial text overlap with arXiv:0903.1841
Externí odkaz:
http://arxiv.org/abs/1308.3951
We show that for a differential graded Lie algebra $\mathfrak{g}$ whose components vanish in degrees below -1 the nerve of the Deligne 2-groupoid is homotopy equivalent to the simplicial set of $\mathfrak{g}$-valued differential forms introduced by V
Externí odkaz:
http://arxiv.org/abs/1211.6603
We extend the formality theorem of M. Kontsevich from deformations of the structure sheaf on a manifold to deformations of gerbes.
Externí odkaz:
http://arxiv.org/abs/0903.1841