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arXiv · 1512.07894

Thin compactifications and relative fundamental classes

Eleny-Nicoleta Ionel·Thomas H. Parker
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Abstract

We define a notion of relative fundamental class that applies to moduli spaces in gauge theory and in symplectic Gromov-Witten theory. For universal moduli spaces over a parameter space, the relative fundamental class specifies an element of the Cech homology of the compactification of each fiber; it is defined if the compactification is "thin" in the sense that its boundary has homological codimension at least two.

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Eleny-Nicoleta Ionel, Thomas H. Parker. 2015-12-24. Thin compactifications and relative fundamental classes. https://arxiv.org/abs/1512.07894

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