Abstract:
It is proved that there exist multiplicative structures in the symplectic bordism theories with singularities of types Σn and Σ, where
Σn=(θ1,Φ1,Φ2,Φ4,…,Φ2n−2) and Σ=(θ1,Φ1,Φ2,Φ4,…,Φ2j,…), and that the ring MSpΣ∗ is isomorphic to a polynomial ring
Z[w1,…,wi,…,x2,x4,…,xk,…], where i=1,2,3,…; k=2,4,5,…, k≠2j−1; degwi=2(2i−1) and degxk=4k.
Bibliography: 10 titles.
This publication is cited in the following 5 articles:
Aleksandr L. Anisimov, Vladimir V. Vershinin, “Symplectic cobordism in small dimensions and a series of elements of order four”, J. Homotopy Relat. Struct, 2012
Vladimir V. Vershinin, Lecture Notes in Mathematics, 1474, Algebraic Topology Poznań 1989, 1991, 295
B. I. Botvinnik, “The structure of the ring MSU∗”, Math. USSR-Sb., 69:2 (1991), 581–596
V. V. Vershinin, “On the decomposition of certain spectra”, Math. USSR-Sb., 60:2 (1988), 283–290
Nigel Ray, “On a construction in bordism theory”, Proc Edin Math Soc, 29:3 (1986), 413