Journal of Topology Advance Access published online on April 1, 2008
Journal of Topology, 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
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We introduce a relation of cobordism for knots in thickened surfaces and study cobordism invariants of such knots.