Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2008-01-01

Journal: MONATSHEFTE FUR MATHEMATIK

Included Journals: SCIE

Volume: 153

Issue: 1

Page Number: 49-57

ISSN: 0026-9255

Key Words: homotopy S-2 x S-2; S-4-action; Seiberg-Witten theory

Abstract: Let X be a closed smooth 4-manifold which is homotopy equivalent to S-2 x S-2. In this paper we use Seiberg-Witten theory to prove that if X admits a spin symmetric group S-4 action of even type with b(2)(+) (X/S-4) = b(2)(+)(X), then as an element of R(S-4), Ind D-S4 (X) = k(1)(1 - theta) + k(2)(psi(1) - psi(2)) for some integers k(1) and k(2), where 1, theta, psi(1), psi(2) are irreducible characters of S-4 of degree 1, 1, 3, and 3 respectively.