4 citations · 5 across the 4 of their papers we have counts for
4 papers
Frobenius manifolds, projective special geometry and Hitchin systems
Claus Hertling, Luuk Hoevenaars, Hessel Posthuma
We consider the construction of Frobenius manifolds associated to projective special geometry and analyse the dependence on choices involved. In particular, we prove that the under…
Cyclic cocycles on deformation quantizations and higher index theorems
M. Pflaum, H. Posthuma, X. Tang
We construct a nontrivial cyclic cocycle on the Weyl algebra of a symplectic vector space. Using this cyclic cocycle we construct an explicit, local, quasi-isomorphism from the com…
An algebraic index theorem for orbifolds
Markus J. Pflaum, Hessel Posthuma, Xiang Tang
Using the concept of a twisted trace density on a cyclic groupoid, a trace is constructed on a formal deformation quantization of a symplectic orbifold. An algebraic index theorem…
Homology of formal deformations of proper etale Lie groupoids
Nikolai Neumaier, Markus J. Pflaum, Hessel Posthuma +1
In this article, the cyclic homology theory of formal deformation quantizations of the convolution algebra associated to a proper etale Lie groupoid is studied. We compute the Hoch…