English

Generalisations of Rozansky-Witten invariants

Differential Geometry 2007-05-23 v2 Quantum Algebra

Abstract

We survey briefly the definition of the Rozansky-Witten invariants, and review their relevance to the study of compact hyperkahler manifolds. We consider how various generalisations of the invariants might prove useful for the study of non-compact hyperkahler manifolds, of quaternionic-Kahler manifolds, and of relations between hyperkahler manifolds and Lie algebras. The paper concludes with a list of additional problems.

Keywords

Cite

@article{arxiv.math/0112210,
  title  = {Generalisations of Rozansky-Witten invariants},
  author = {Justin Roberts and Justin Sawon},
  journal= {arXiv preprint arXiv:math/0112210},
  year   = {2007}
}

Comments

Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon4/paper17.abs.html

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