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

DOI:
https://doi.org/10.1090/S0002-9939-02-06728-X

Published electronically:
October 1, 2002

MathSciNet review:
1955284

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Abstract | References | Similar Articles | Additional Information

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 -dimensional generators, for small, after multiplication by the Ray elements , , 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:
https://doi.org/10.1090/S0002-9939-02-06728-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