5 papers · 1 filter
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…