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Singularities and Higher Torsion in Symplectic Cobordism

Published online by Cambridge University Press:  20 November 2018

Boris I. Botvinnik  and
Stanley O. Kochman
Boris I. Botvinnik
Affiliation:
Department of Mathematics University of Oregon Eugene, Oregon 97403 U.S.A. e-mail: , botvinnik@bright.uoregon.edu
Stanley O. Kochman
Affiliation:
Department of Mathematics and Statistics York University 4700 Keele Street North York, Ontario M3J IP3 e-mail: , kochman@atop.yorku.ca
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Abstract

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In this paper we construct higher two-torsion elements of all orders in the symplectic cobordism ring. We begin by constructing higher torsion elements in the symplectic cobordism ring with singularities using a geometric approach to the Adams- Novikov spectral sequence in terms of cobordism with singularities. Then we show how these elements determine particular elements of higher torsion in the symplectic cobordism ring.

Keywords

55N2255T1557R90
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 46 , Issue 3 , 01 June 1994 , pp. 485 - 516
Copyright
Copyright © Canadian Mathematical Society 1994

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