4 citations · 18 across the 8 of their papers we have counts for
8 papers
A Cyclic Operad in the Category of Artin Stacks and Gravitational Correlators
Ivan Kausz
We define an Artin stack which may be considered as a substitute for the non-existing (or empty) moduli space of stable two-pointed curves of genus zero. We show that this Artin st…
Stable maps into the classifying space of the general linear group
Ivan Kausz
In this note we give a definition of stable maps into the classifying stack $\BGL_r$ of the general linear group. To support our belief that the definition is the correct one, we s…
Vanishing of top equivariant Chern classes of regular embeddings
Michel Brion, Ivan Kausz
Let be a connected affine algebraic group and a regular -variety (in the sense of Bifet-De Concini-Procesi) with open orbit and boundary divisor . We show the v…
Twisted vector bundles on pointed nodal curves
Ivan Kausz
We establish a striking connection between Abramovich's and Vistoli's twisted bundles and Gieseker vector bundles. This note grew out of an attempt to understand a recent draft of…
A canonical decomposition of generalized theta functions on the moduli stack of Gieseker vector bundles
Ivan Kausz
In this paper I present a new geometric approach to the factorization rule for generalised theta functions. Let be an irreducible projective nodal curve with one singularity an…
Global sections of line bundles on a wonderful compactification of the general linear group
Ivan Kausz
In a previous paper we have constructed a compactification of the general linear group , which in many respects is analogous to the so called wonderful compactificati…