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Characteristic classes and transfer relations in cobordism
Author(s):
M.
Bakuradze;
M.
Jibladze;
V.
V.
Vershinin
Journal:
Proc. Amer. Math. Soc.
131
(2003),
1935-1942.
MSC (2000):
Primary 55N22, 55R12
Posted:
October 1, 2002
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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:
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
Posted:
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
Copyright of article:
Copyright
2002,
American Mathematical Society
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