Relating VFCs on thin compactifications
Symplectic Geometry
2019-06-17 v2
Abstract
Many moduli spaces that occur in geometric analysis admit "Fredholm-stratified thin compactifications" in the sense of [IP1] and hence admit a relative fundamental class (RFC), also as defined in [IP1]. We extend these results, emphasizing the naturality of the RFC, eliminating the need for a stratification, and proving three compatibility results: the invariants defined by the RFC agree with those defined by pseudo-cycles, the RFC is compatible with cutdown moduli spaces, and the RFC agrees with the virtual fundamental class (VFC) constructed by J. Pardon via implicit atlases in all cases where both are defined.
Keywords
Cite
@article{arxiv.1807.10326,
title = {Relating VFCs on thin compactifications},
author = {Eleny-Nicoleta Ionel and Thomas H. Parker},
journal= {arXiv preprint arXiv:1807.10326},
year = {2019}
}
Comments
Minor revisions and clarifications were made. To appear in Math. Annalen