Title: Multiplicative Indecomposable Splittings of MSp_{[2]}
Author: Hirotaka Tamanoi
Department of Mathematics
University of California
Santa Cruz, CA 95064
Email: tamanoi@math.ucsc.edu
Abstract: When 2 is inverted, the symplectic cobordism cohomology
theory becomes complex oriented with respect to the Buhstaber
orientation. We study multiplicative idempotents in this
theory in detail. Such multiplicative idempotents can only annihilate
polynomial generators in degrees -4n, where 2n+1 is not a
prime power. We split off a multiplicatively indecomposable
smallest possible nontrivial cohomology theory from the
above theory. The coefficient ring of this theory has
polynomial generators in degrees of the form -2(p^k-1) for
any positive k and for any odd prime p.