Cobordism Massey products-Reference-Cited by-同舟云学术

Cobordism Massey products

Published:1972 Issue:0 Volume:166 Page:197-214
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Alexander J. C.

Abstract

The structure of Massey products is introduced into the bordism ring Ω S {\Omega ^S} of manifolds with structure S and machinery is developed to investigate it. The product is changed to one in homotopy via the Pontrjagin-Thom map and methods for computation via the Adams spectral sequence are developed. To illustrate the methods, some products in Ω S U {\Omega ^{SU}} and Ω S p {\Omega ^{Sp}} are computed.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1972-166-00/S0002-9947-1972-0293623-1/S0002-9947-1972-0293623-1.pdf

Reference18 articles.

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3. 𝑆𝑈-cobordism, 𝐾𝑂-characteristic numbers, and the Kervaire invariant;Anderson, D. W.;Ann. of Math. (2),1966

4. Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Band 33;Conner, P. E.,1964

5. Torsion in 𝑆𝑈-bordism;Conner, P. E.;Mem. Amer. Math. Soc.,1966

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