From the 1 of 6 linked papers with an AI index.
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Ample divisor complements, Floer spectra, and relative Gromov-Witten theory
Kenneth Blakey
The paper lifts a low‑energy log PSS map to a spectral level to describe the graded Floer homotopy types of complements of ample smooth divisors, and shows that the obstruction to…
Bulk-deformations, Floer complex bordism, and Grothendieck-Riemann-Roch
Kenneth Blakey, Noah Porcelli
Given a Liouville manifold, we compute a Floer-homotopical invariant -- the complexification of the lift of symplectic cohomology to complex cobordism -- in terms of a classical Fl…
Floer homotopy theory and degenerate Lagrangian intersections
Kenneth Blakey
We give a lower bound on the number of intersection points of a Lagrangian pair via Steenrod squares on Lagrangian Floer cohomology induced from a Floer homotopy type. The main tec…
Parameterized Lagrangian Floer homotopy
Kenneth Blakey, Ciprian Mircea Bonciocat
We construct the Lagrangian Floer homotopy type, in the exact setting, as a spectrum parameterized over the moduli space of Maslov data. Our primary motivation for this constructio…