Positive Dehn Twist Expressions for Some Elements of Finite Order in the Mapping Class Group

Yusuf Z. Gurtas

Positive Dehn Twist Expressions for Some Elements of Finite Order in the Mapping Class Group

Geometric Topology 2007-05-23 v1

Authors: Yusuf Z. Gurtas

Abstract

Positive Dehn twist products for some elements of finite order in the mapping class group of a 2-dimensional closed, compact, oriented surface $\Sigma_g$ , which are rotations of $\Sigma_g$ through $2\pi /p$ , are presented. The homeomorphism invariants of the resulting simply connected symplectic 4- manifolds are computed.

Keywords

mapping class group dehn twist finite order elements symplectic 4-manifolds homeomorphism invariants

Cite

@article{arxiv.math/0501385,
  title  = {Positive Dehn Twist Expressions for Some Elements of Finite Order in the Mapping Class Group},
  author = {Yusuf Z. Gurtas},
  journal= {arXiv preprint arXiv:math/0501385},
  year   = {2007}
}

Comments

17 pages, 16 figures

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