Moduli spaces of surfaces and monodromy invariants
Algebraic Geometry
2010-03-23 v1 Symplectic Geometry
Abstract
This paper is a survey of the authors' recent results on "abc-surfaces" and the monodromy of their natural Lefschetz fibrations and projections to P^1 x P^1, see (arXiv:0910.2142). The results being surveyed explore various fundamental questions about complex deformation vs. symplectomorphism vs. diffeomorphism from the perspective of one explicit family of examples; the paper also contains some remarks which were not in earlier papers.
Keywords
Cite
@article{arxiv.1003.3871,
title = {Moduli spaces of surfaces and monodromy invariants},
author = {Fabrizio Catanese and Michael Lönne and Bronislaw Wajnryb},
journal= {arXiv preprint arXiv:1003.3871},
year = {2010}
}
Comments
37 pages, to appear in the Proceedings of 13th G\"okova Geometry-Topology Conference