Thin compactifications and relative fundamental classes
Abstract
We define a notion of relative fundamental class that applies to moduli spaces in gauge theory and in symplectic GromovWitten 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.
 Publication:

arXiv eprints
 Pub Date:
 December 2015
 DOI:
 10.48550/arXiv.1512.07894
 arXiv:
 arXiv:1512.07894
 Bibcode:
 2015arXiv151207894I
 Keywords:

 Mathematics  Symplectic Geometry
 EPrint:
 Final version, 33 pages, to appear in the Journal of Symplectic Geometry