Computation of fixed point data from equivariant cohomology
Abstract
This dissertation provides an algorithm to obtain the cohomology of the fixed point set XT from the Borel cohomology [special characters omitted] (X;[special characters omitted]), where T = (S1) n denotes a torus of rank n, X is a finite dimensional T-CW-complex with finite orbit type. Sample calculations are given for circle actions on cohomology complex projective spaces and also for toric varieties.
Degree
Ph.D.
Advisors
Wilkerson, Purdue University.
Subject Area
Mathematics
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