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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Characteristic classes and transfer relations in cobordism


Authors: M. Bakuradze, M. Jibladze and V. V. Vershinin
Journal: Proc. Amer. Math. Soc. 131 (2003), 1935-1942
MSC (2000): Primary 55N22, 55R12
Published electronically: October 1, 2002
MathSciNet review: 1955284
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Abstract: Decompositions of products of the Ray elements by free generators of small dimensions in the symplectic cobordism ring are obtained. In particular it is stated that most of the $4n$-dimensional generators, for $n$ small, after multiplication by the Ray elements $\phi_i$, $i\geqslant0$, land in the ideal generated by Ray elements of low dimension.


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Additional Information

M. Bakuradze
Affiliation: Razmadze Mathematical Institute, Tbilisi 380093, Republic of Georgia
Email: maxo@rmi.acnet.ge

M. Jibladze
Affiliation: Razmadze Mathematical Institute, Tbilisi 380093, Republic of Georgia
Email: jib@rmi.acnet.ge

V. V. Vershinin
Affiliation: Département des sciences mathématiques, CNRS, UMR 5030 (GTA), Université Montpellier II, place Eugéne Bataillon, 34095 Montpellier Cedex 5, France – and – Institute of Mathematics, Novosibirsk 630090, Russian Federation
Email: vershini@darboux.math.univ-montp2.fr, versh@math.nsc.ru

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06728-X
PII: S 0002-9939(02)06728-X
Received by editor(s): June 10, 2001
Received by editor(s) in revised form: January 15, 2002
Published electronically: October 1, 2002
Additional Notes: The first author was supported by the CRDF grant #GM1-2083 and by the Abdus Salam International Centre for Theoretical Physics, Trieste, Italy
The second author was supported by the TMR research network ERB FMRX CT-97-0107 and the INTAS grant #93-3218-EXT
The third author was supported in part by the French-Russian Program of Research EGIDE (dossier No 04495UL)
Communicated by: Paul Goerss
Article copyright: © Copyright 2002 American Mathematical Society