Noah Porcelli

collaborators

7 papers

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.AT2026

Obstructions to homotopy invariance of loop coproduct via parametrised fixed-point theory

Lea Kenigsberg, Noah Porcelli

Given $f : M \to N$ a homotopy equivalence of compact manifolds with boundary, we use a construction of Geoghegan and Nicas to define its Reidemeister trace $[T] \in Ï_1^{st}(\math…

math.SG2026

Bordism from quasi-isomorphism

Noah Porcelli, Ivan Smith

Let $X$ be a graded Liouville domain. Fix a pair of infinite loop spaces $I^¨ = (I^ \to I^¦)$ living over $(B O \to B U)$ . This determines a spectral Fukaya category $F (X; I^¨)$ …

math.SG2026

Open-closed maps and spectral local systems

Noah Porcelli, Ivan Smith

Let $X$ be a graded Liouville domain. Fix a pair of infinite loop spaces $I^¨ = (I^ \to I^¦)$ living over $(B O \to B U)$ . This determines a spectral Fukaya category $F (X; I^¨)$ …

math.SG2025

Spectral Floer theory and tangential structures

Noah Porcelli, Ivan Smith

In \cite{PS}, for a stably framed Liouville manifold $X$ we defined a Donaldson-Fukaya category $F (X; S)$ over the sphere spectrum, and developed an obstruction t…

math.SG2025

C^0 Lagrangian Monodromy

Noah Porcelli

We prove that (under appropriate orientation assumptions), the action of a Hamiltonian homeomorphism Ïon the cohomology of a relatively exact Lagrangian fixed by Ïis the identity…