Algebraic and Geometric Topology 4 (2004), paper no. 42, pages 961-1011.

A class of tight contact structures on Sigma_2 x I

Tanya Cofer

Abstract. We employ cut and paste contact topological techniques to classify some tight contact structures on the closed, oriented genus-2 surface times the interval. A boundary condition is specified so that the Euler class of the of the contact structure vanishes when evaluated on each boundary component. We prove that there exists a unique, non-product tight contact structure in this case.

Keywords. Tight, contact structure, genus-2 surface

AMS subject classification. Primary: 57M50. Secondary: 53C15.

DOI: 10.2140/agt.2004.4.961

E-print: arXiv:math.SG/0411208

Submitted: 9 November 2003. (Revised: 20 May 2004.) Accepted: 11 June 2004. Published: 31 October 2004.

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Tanya Cofer
Department of Mathematics, Northeastern Illinois University
5500 North St Louis Avenue, Chicago, IL 60625-4699, USA

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