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Cohomology Of Large Semiprojective Hyperkahler Varieties

Hausel, Tamas  
•
Villegas, Fernando Rodriguez
2015
Asterisque

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.

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Type
research article
Web of Science ID

WOS:000358752100002

Author(s)
Hausel, Tamas  
•
Villegas, Fernando Rodriguez
Date Issued

2015

Publisher

Soc Mathematique France

Published in
Asterisque
Issue

370

Start page

113

End page

156

Subjects

Cohomology

•

Betti numbers

•

quiver variety

•

hyperkahler variety

•

Hard Lefschetz Theorem

Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
GEOM-FERM  
Available on Infoscience
September 28, 2015
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/119081
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