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Christopher Allday
Researcher at University of Hawaii
Publications - 18
Citations - 378
Christopher Allday is an academic researcher from University of Hawaii. The author has contributed to research in topics: Equivariant cohomology & Cohomology. The author has an hindex of 5, co-authored 18 publications receiving 347 citations. Previous affiliations of Christopher Allday include University of Hawaii at Manoa.
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Cohomological methods in transformation groups
Christopher Allday,Volker Puppe +1 more
TL;DR: In this paper, the Borel construction of G-CW-complexes has been studied in the context of rational homotopy theory and torus and p-torus actions on Poincare duality spaces.
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Equivariant cohomology, syzygies and orbit structure
TL;DR: In this paper, the Atiyah-Bredon sequence of equivariant cohomology modules arising from the filtration of X by orbit dimension was considered and it was shown that a front piece of this sequence is exact if and only if the H∗(BT )-module H ∗ T (X) is a certain syzygy.
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Equivariant Poincar\'e-Alexander-Lefschetz duality and the Cohen-Macaulay property
TL;DR: In this paper, a Poincare-Alexander-Lefschetz duality theorem for rational torus-equivariant cohomology and rational homology manifolds is proved.
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Syzygies in equivariant cohomology in positive characteristic.
TL;DR: In this paper, a theory of syzygies in equivariant cohomology for tori and coefficients in the Atiyah-Bredon sequence is developed, and a new algebraic approach to the partial exactness of the sequence is presented.
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On the rank of a space
TL;DR: In this paper, the rank of a Lie group is defined as the dimension of the highest dimensional torus which can act almost freely on the space, by which all the isotropy subgroups are finite.