Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Batakidis, Panagiotis"'
Autor:
Batakidis, Panagiotis, Lavau, Sylvain
For a Lie algebroid pair $A\hookrightarrow L$ we study cocycles constructed from the extension to $L$ of the higher connection forms of a representation up to homotopy $E$ of the Lie algebroid $A$. We show that there exists a cohomology class with va
Externí odkaz:
http://arxiv.org/abs/2406.05204
Autor:
Batakidis, Panagiotis, Petalidou, Fani
Publikováno v:
In Journal of Geometry and Physics May 2024 199
Autor:
Batakidis, Panagiotis, Petalidou, Fani
Publikováno v:
Journal of Geometry and Physics 199 (2024) 105142
We construct an algebra and a complex of multidifferential operators on tensor products of a Courant algebroid E with values in the endomorphism bundle of a smooth vector bundle B, predual of E, extending the standard complex of the Courant-Dorfman a
Externí odkaz:
http://arxiv.org/abs/2002.10175
Autor:
Batakidis, Panagiotis, Vera, Ramón
Publikováno v:
Differential Geometry and its Applications 72 (2020) 101661
We compute the formal Poisson cohomology of a broken Lefschetz fibration by calculating it at fold and Lefschetz singularities. Near a fold singularity the computation reduces to that for a point singularity in 3 dimensions. For the Poisson cohomolog
Externí odkaz:
http://arxiv.org/abs/1805.04435
Autor:
Batakidis, Panagiotis, Vera, Ramón
Publikováno v:
Journal of Mathematical Physics 62, 033513 (2021)
We connect Poisson and near-symplectic geometry by showing that there is a singular Poisson structure on a near-symplectic 4-manifold. The Poisson structure $\pi$ is defined on the tubular neighbourhood of the singular locus $Z_{\omega}$ of the 2-for
Externí odkaz:
http://arxiv.org/abs/1702.03541
Publikováno v:
Journal of Geometry and Physics (2017)
For every Lie pair $(L,A)$ of algebroids we construct a dg-manifold structure on the $\mathbb{Z}$-graded manifold $\mathcal M=L[1]\oplus L/A$ such that the inclusion $\iota: A[1] \to \mathcal M$ and the projection $p:\mathcal M\to L[1]$ are morphisms
Externí odkaz:
http://arxiv.org/abs/1601.06254
Autor:
Batakidis, Panagiotis, Vera, Ramón
Publikováno v:
In Differential Geometry and its Applications October 2020 72
We prove that when Kontsevich's deformation quantization is applied on weight homogeneous Poisson structures, the operators in the $\ast-$ product formula are weight homogeneous. We then consider the linear Poisson case $X=\mathfrak{g}^\ast$ for a se
Externí odkaz:
http://arxiv.org/abs/1210.7759
Autor:
Batakidis, Panagiotis
Publikováno v:
C. R. Acad. Sci. Paris, Ser. I 349 (2011) 143-148
The isomorphism between the reduction algebra and the invariant differential operators on G/H is sketched.
Comment: 7 pages, Summary note of the preprint "On the isomorphism between the reduction...operators on Lie groups."
Comment: 7 pages, Summary note of the preprint "On the isomorphism between the reduction...operators on Lie groups."
Externí odkaz:
http://arxiv.org/abs/1103.4469
Autor:
Batakidis, Panagiotis
Publikováno v:
C.R.Acad.Sci.Paris, Ser. I 349 (2011) 247-250
We sketch the proof that the biquantization character of Cattaneo-Torossian equals a standard character computed in harmonic analysis. An old example is treated this way to produce a precise character formula.
Comment: 5 pages, Summary note of t
Comment: 5 pages, Summary note of t
Externí odkaz:
http://arxiv.org/abs/1103.4471