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- University of VirginiaUS83 papers
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- National ObservatoryBR57 papers
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6 papers · 1 filter
A brief note on the spectrum of the basic Dirac operator
Georges Habib, Ken Richardson
In this paper, we prove the invariance of the spectrum of the basic Dirac operator defined on a Riemannian foliation with respect to a change of bundle-like metri…
Intersection homology Kunneth theorems
Greg Friedman
Cohen, Goresky and Ji showed that there is a Kunneth theorem relating the intersection homology groups to and , prov…
Noether-Lefschetz theorem with base locus
John Brevik, Scott Nollet
We compute the class groups of very general normal surfaces in complex projective three-space containing an arbitrary base locus , thereby extending the classic Noether-Lefschet…
Transverse conformal Killing forms and a Gallot-Meyer Theorem for foliations
Seoung Dal Jung, Ken Richardson
We study transverse conformal Killing forms on foliations and prove a Gallot-Meyer theorem for foliations. Moreover, we show that on a foliation with -positive normal curvature,…
Natural Equivariant Dirac Operators
Igor Prokhorenkov, Ken Richardson
We introduce a new class of natural, explicitly defined, transversally elliptic differential operators over manifolds with compact group actions. Under certain assumptions, the sym…
Intersection homology with field coefficients: -Witt spaces and -Witt bordism
Greg Friedman
We construct geometric examples of pseudomanifolds that satisfy the Witt condition for intersection homology Poincare duality with respect to certain fields but not others. We also…