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Journal of Topology Advance Access originally published online on April 1, 2008
Journal of Topology 2008 1(2):285-305; doi:10.1112/jtopol/jtn002
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© 2008 London Mathematical Society

Cobordism of knots on surfaces

Vladimir Turaev

IRMA, Université Louis Pasteur–CNRS, 7 Rue René Descartes, F-67084 Strasbourg, France
Department of Mathematics, Indiana University, Rawles Hall, 831 East 3rd St, Bloomington, IN 47405, USA vtouraev@indiana.edu


   Abstract

We introduce a relation of cobordism for knots in thickened surfaces and study cobordism invariants of such knots.

Received May 14, 2007.


2000 Mathematics Subject Classification 57M27


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