Ample divisor complements, Floer spectra, and relative Gromov-Witten theory
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918286048886784 |
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| author | Blakey, Kenneth |
| author_facet | Blakey, Kenneth |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_08506 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Ample divisor complements, Floer spectra, and relative Gromov-Witten theory Blakey, Kenneth Symplectic Geometry Algebraic Geometry Algebraic Topology 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. |
| title | Ample divisor complements, Floer spectra, and relative Gromov-Witten theory |
| topic | Symplectic Geometry Algebraic Geometry Algebraic Topology |
| url | https://arxiv.org/abs/2601.08506 |