Noah Porcelli

collaborators

4 papers

math.SG2025

Bordism from quasi-isomorphism

Noah Porcelli, Ivan Smith

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

math.SG2025

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 $Ψ = (Θ \to Φ)$ living over $(B O \to B U)$ . This determines a spectral Fukaya category $F (X; Ψ)$ when…

math.SG2025

On the parametrised Whitehead torsion of families of nearby Lagrangian submanifolds

Sylvain Courte, Noah Porcelli

Motivated by the strong nearby Lagrangian conjecture, we constrain the parametrised Whitehead torsion of a family of closed exact Lagrangian submanifolds in a cotangent bundle. We…

math.SG2024

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…