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math.SG2026
Spectral Viterbo isomorphism: complex-oriented versus framed
Kenneth Blakey
The Viterbo isomorphism relates the symplectic cohomology of a cotangent bundle to the homology of the free loop space of its base. We lift this to a relation of modules over (1) t…
math.SG2026
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…
math.SG2026
Ample divisor complements, Floer spectra, and relative Gromov-Witten theory
Kenneth Blakey
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…