Zobrazeno 1 - 10
of 66
pro vyhledávání: '"Posthuma, Hessel"'
Autor:
Kosmeijer, Bjarne, Posthuma, Hessel
We compute the Hochschild cohomology of universal enveloping algebras of Lie-Rinehart algebras in terms of the Poisson cohomology of the associated graded quotient algebras. Central in our approach are two cochain complexes of "nonlinear Chevalley-Ei
Externí odkaz:
http://arxiv.org/abs/2312.14654
Let G be a connected, linear real reductive group and let X be a G-proper manifold without boundary. We give a detailed account of both the large and small time behaviour of the heat-kernel of perturbed Dirac operators, as a map from the positive rea
Externí odkaz:
http://arxiv.org/abs/2307.09252
Autor:
Kosmeijer, Bjarne, Posthuma, Hessel
Given a smooth action of a Lie group on a manifold, we give two constructions of the Chern character of an equivariant vector bundle in the cyclic cohomology of the crossed product algebra. The first construction associates a cycle to the vector bund
Externí odkaz:
http://arxiv.org/abs/2304.03680
Autor:
Posthuma, Hessel Bouke
Proefschrift Universiteit van Amsterdam.
Met lit. opg. - Met samenvatting in het Nederlands.
Met lit. opg. - Met samenvatting in het Nederlands.
Externí odkaz:
http://dare.uva.nl/document/70151
Let $G$ be a connected, linear real reductive group. We give sufficient conditions ensuring the well-definedness of the delocalized eta invariant $\eta_g (D_X)$ associated to a Dirac operator $D_X$ on a cocompact $G$-proper manifold $X$ and to the or
Externí odkaz:
http://arxiv.org/abs/2108.00982
Autor:
Kosmeijer, Bjarne, Posthuma, Hessel
We define a morphism from the deformation complex of a Lie groupoid to the Hochschild complex of its convolution algebra, and show that it maps the class of a geometric deformation to the algebraic class of the induced deformation in Hochschild cohom
Externí odkaz:
http://arxiv.org/abs/2107.14301
Autor:
Piazza, Paolo, Posthuma, Hessel
Publikováno v:
Ann. K-Th. 6 (2021) 713-782
Let G be a finitely connected Lie group and let K be a maximal compact subgroup. Let M be a cocompact G-proper manifold with boundary, endowed with a G-invariant metric which is of product type near the boundary. Under additional assumptions on G, fo
Externí odkaz:
http://arxiv.org/abs/2010.02783
We study the Hochschild homology of the convolution algebra of a proper Lie groupoid by introducing a convolution sheaf over the space of orbits. We develop a localization result for the associated Hochschild homology sheaf, and prove that the Hochsc
Externí odkaz:
http://arxiv.org/abs/2009.03216
Topological phases for free fermions in systems with crystal symmetry are classified by the topology of the valence band viewed as a vector bundle over the Brillouin zone. Additional symmetries, such as crystal symmetries which act non-trivially on t
Externí odkaz:
http://arxiv.org/abs/1811.02592
Autor:
Piazza, Paolo, Posthuma, Hessel
Publikováno v:
Ann. K-Th. 4 (2019) 473-504
Let G be a Lie group with finitely many connected components and let K be a maximal compact subgroup. We assume that G satisfies the rapid decay (RD) property and that G/K has non-positive sectional curvature. As an example, we can take G to be a con
Externí odkaz:
http://arxiv.org/abs/1801.06676