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Algebraic Structures Associated to Orbifold Wreath Products

Published online by Cambridge University Press:  03 August 2010

Carla Farsi
Affiliation:
Department of Mathematics, University of Colorado at Boulder, Campus Box 395, Boulder, CO 80309-0395, USA, farsi@euclid.colorado.edu
Christopher Seaton
Affiliation:
Department of Mathematics and Computer Science, Rhodes College, 2000 N. Parkway, Memphis, TN 38112, USA, seatonc@rhodes.edu
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Abstract

We present structure theorems in terms of inertial decompositions for the wreath product ring of an orbifold presented as the quotient of a smooth, closed manifold by a compact, connected Lie group acting almost freely. In particular we show that this ring admits λ-ring and Hopf algebra structures both abstractly and directly. This generalizes results known for global quotient orbifolds by finite groups.

Type
Research Article
Copyright
Copyright © ISOPP 2010

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