7 papers
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…
Quantum de Sitter and Analytically Continued Chern Simons Theory
Stephon Alexander, Kenneth Blakey
We give a Lefschetz thimble definition of the Chern--Simons--Kodama wavefunctional in Lorentzian self-dual gravity with positive cosmological constant. By complexifying the connect…
A homotopy coherent Pontryagin-Thom isomorphism
Kenneth Blakey, Liam Keenan
Classically, the Pontryagin-Thom isomorphism asserts that the multiplicative cohomology theory given by (structured) geometric cobordism is isomorphic to the cohomology theory dete…
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…
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…
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…
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…