Ample divisor complements, Floer spectra, and relative Gromov-Witten theory
Symplectic Geometry
2026-01-14 v1 Algebraic Geometry
Algebraic Topology
Abstract
We spectrally lift Ganatra-Pomerleano's low-energy log PSS morphism to compute the associated graded of Floer homotopy types of ample smooth divisor complements. Moreover, we show the obstruction to splitting into the associated graded is encoded in a stable homotopy class defined via (higher-dimensional) genus 0 relative Gromov-Witten moduli spaces. We compute numerous examples of splittings, including the affine part of all smooth projective hypersurfaces of degree at least 2.
Keywords
Cite
@article{arxiv.2601.08506,
title = {Ample divisor complements, Floer spectra, and relative Gromov-Witten theory},
author = {Kenneth Blakey},
journal= {arXiv preprint arXiv:2601.08506},
year = {2026}
}
Comments
70 pages, 13 figures, comments welcome!