English

The first $L^2$-Betti number for classifying spaces of variations of Hodge structures

Differential Geometry 2007-05-23 v1 Algebraic Geometry

Abstract

The first Betti number for a lattice in a classifying space for variations of Hodge structures vanishes.

Keywords

Cite

@article{arxiv.math/0312146,
  title  = {The first $L^2$-Betti number for classifying spaces of variations of Hodge structures},
  author = {Juergen Jost and Yuanlong Xin},
  journal= {arXiv preprint arXiv:math/0312146},
  year   = {2007}
}