Universal Poincar? duality for the intersection homology of branched and partial coverings of a pseudomanifold [electronic resource] /Show full item record
|Title||Universal Poincar? duality for the intersection homology of branched and partial coverings of a pseudomanifold [electronic resource] /|
|Author||Matthews, Kyle M.|
|Description||Title from dissertation title page (viewed Jun. 27, 2016).
Ph. D.Texas Christian University2016
Department of Mathematics; advisor, Greg Friedman.
Includes bibliographical references.
Text (electronic thesis) in PDF.
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.
|Subject||Duality theory (Mathematics)
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- Theses and Dissertations