Publication

Cohomology Of Large Semiprojective Hyperkahler Varieties

Tamás Hausel
2015
Journal Articles

Abstract

In this paper we survey geometric and arithmetic techniques to study the cohomology of semiprojective hyperkahler manifolds including toric hyperkahler varieties, Nakajima quiver varieties and moduli spaces of Higgs bundles on Riemann surfaces. The resulting formulae for their Poincare polynomials are combinatorial and representation theoretical in nature. In particular we will look at their Betti numbers and will establish some results and state some expectations on their asymptotic shape.

Official source

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Cohomology Of Large Semiprojective Hyperkahler Varieties

Chat with Graph Search

MODULI OF Q-GORENSTEIN PAIRS AND APPLICATIONS

BPS invariants from p-adic integrals

Lattice packings through division algebras