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Universal Poincar? duality for the intersection homology of branched and partial coverings of a pseudomanifold
Matthews, Kyle M.
Matthews, Kyle M.
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[Fort Worth, Tex.] : Texas Christian University,
Date
2016
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Abstract
The work of Friedman and McClure shows that intersection homology satisfies a version of universal Poincar? duality for orientable pseudomanifolds. We extend their results to include regular covers defined solely over the regular strata. Our approach allows us to also prove a universal duality result for possibly non-orientable pseudomanifolds. We also show that for a special class of coefficient systems, which includes fields twisted by the orientation character, there is a non-universal Poincar? duality via cap products for intersection homology with twisted coefficients.--Abstract.
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Duality theory (Mathematics)
Poincar? series.
Homology theory.
Manifolds (Mathematics)
Poincar? series.
Homology theory.
Manifolds (Mathematics)
Research Projects
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Dissertation
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Mathematics