Browsing Mathematics Theses and Dissertations by Subject "cobordism"

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Composition and Cobordism Maps

Cohen, Jesse (University of Oregon, 2024-01-09)

We study the relationship between the algebra of module homomorphisms under composition and 4-dimensional cobordisms in the context of bordered Heegaard Floer homology. In particular, we prove that composition of module ...
Scalar Curvature and Transfer Maps in Spin and Spin^c Bordism

Granath, Elliot (University of Oregon, 2024-01-10)

In 1992, Stolz proved that, among simply connected Spin-manifolds of dimension5 or greater, the vanishing of a particular invariant α is necessary and sufficient for the existence of a metric of positive scalar curvature. ...