This article is cited in 5 papers

Symplectic cobordism of the projective spaces

V. G. Gorbunov


Abstract: Some geometric properties of projective spaces over the classical fields $R$, $C$, and $H$ are studied, which yield a new description of their symplectic cobordism modules. These results lead to new relations in the symplectic cobordism ring of a point. As an application, it is proved that $\theta_1\theta_i\theta_j=0$, where the $\theta_i$ are Ray's elements.

UDC: 514.7

MSC: Primary 55N22; Secondary 57R90

Received: 18.12.1988

 English version: Mathematics of the USSR-Sbornik, 1991, 69:2, 543–557

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