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The Symplectic Cobordism Ring. I
Author: Stanley O. Kochman
Publisher: American Mathematical Soc.
Published: 1980
Total Pages: 220
ISBN-13: 0821822284
DOWNLOAD EBOOK →This paper is the first of three which will 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, [italic]E2 us computed as an algebra by the May spectral sequence. The [italic]d2 differentials in the Adams spectral sequence are then found by Landweber-Novikov and matric Massey product methods. Algebra generators of [italic]E3 are then determined.
The Symplectic Cobordism Ring II
Author: Stanley O. Kochman
Publisher: American Mathematical Soc.
Published: 1982
Total Pages: 181
ISBN-13: 0821822713
DOWNLOAD EBOOK →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.
Normal Structures and Bordism Theory, with Applications to $MSp_\ast $
Author: Nigel Ray
Publisher: American Mathematical Soc.
Published: 1977
Total Pages: 80
ISBN-13: 0821821938
DOWNLOAD EBOOK →In the first of these three papers we discuss the problem of enumerating the bordism classes which can be carried on a fixed manifold by means of varying its normal structure. The main application is to Sp structures on Alexander's family of manifolds, and is presented in the third paper. The middle paper collects together the requisite definitions and calculations.
Symplectic Cobordism and the Computation of Stable Stems
Author: Stanley O. Kochman
Publisher: American Mathematical Soc.
Published: 1993
Total Pages: 105
ISBN-13: 0821825585
DOWNLOAD EBOOK →This memoir consists of two independent papers. In the first, "The symplectic cobordism ring III" the classical Adams spectral sequence is used to study the symplectic cobordism ring [capital Greek]Omega[superscript]* [over] [subscript italic capital]S[subscript italic]p. In the second, "The symplectic Adams Novikov spectral sequence for spheres" we analyze the symplectic Adams-Novikov spectral sequence converging to the stable homotopy groups of spheres.
Canadian Journal of Mathematics
Canadian Mathematical Bulletin
Algebraic Topology. Waterloo 1978
Author: P. Hoffman
Publisher: Springer
Published: 2006-11-15
Total Pages: 668
ISBN-13: 3540350098
DOWNLOAD EBOOK →Algebraic Topology: Oaxtepec 1991
Author: Martin C. Tangora
Publisher: American Mathematical Soc.
Published: 1993
Total Pages: 504
ISBN-13: 0821851624
DOWNLOAD EBOOK →This book consists of twenty-nine articles contributed by participants of the International Conference in Algebraic Topology held in July 1991 in Mexico. In addition to papers on current research, there are several surveys and expositions on the work of Mark Mahowald, whose sixtieth birthday was celebrated during the conference. The conference was truly international, with over 130 mathematicians from fifteen countries. It ended with a spectacular total eclipse of the sun, a photograph of which appears as the frontispiece. The papers range over much of algebraic topology and cross over into related areas, such as K theory, representation theory, and Lie groups. Also included is a chart of the Adams spectral sequence and a bibliography of Mahowald's publications.
Canadian Mathematical Bulletin
