The symplectic cobordism ring

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This paper is the second of three which investigate the ring of cobordism classes of closed smooth manifolds with a symplectic structure on their stable normal bundle. The method of computation is the Adams spectral sequence. In this paper the d₃-differentials are computed by Landweber-Novikov and Massey product methods. In addition cup-one products are introduced in the theory of bordism chains, and a complex is constructed to represent an Adams spectral sequence.

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Title Statements

Full title :The symplectic cobordism ring. / Stanley O. Kochman.

Summary

Edition Statements

Publication Date:©1982.

Publication Statements

Publisher(s):American mathematical Society
Place of Publication:Providence, R.I
Language:eng
Publication Date:©1982.

The Physical Object

Description:vii, 170 pages : : illustrations ; : 26 cm.

Edition Identifiers

ISBN:0821822713, 9780821822715
oclc:ocm09063002
LC Classification:QA3
Dewey Decimal:510

[italic]d₃ differentials on [italic]E[superscript]*[over]₃[superscript],⁰ of the Adams spectral sequence -- A qualitative description of the Adams spectral sequence -- Cup-one products of manifolds with rigid [italic]B-structure -- Construction of a complex to represent an Adams spectral sequence -- Differentials, nontrivial extensions and Massey products -- [italic]d₃ differentials in the Adams spectral sequence.

Subjects

Adams spectral sequences Anneaux (Algèbre) Cobordism theory Cobordismes, Théorie des Rings (Algebra) Suites spectrales d'Adams Symplectic manifolds Théorie des cobordismes Variétés symplectiques