Noah Porcelli

activity

20222026

most citedLagrangian intersections and cuplength in generalised cohomology theories

2 citations · 4 across the 9 of their papers we have counts for

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9 papers · 1 filter

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.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…

math.SG2024

C^0 Lagrangian Monodromy

Noah Porcelli

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

math.SG2024

Bordism of flow modules and exact Lagrangians

Noah Porcelli, Ivan Smith

For a stably framed Liouville manifold X , we construct a "Donaldson-Fukaya category over the sphere spectrum" F(X; S). The objects are closed exact Lagrangians whose Gauss maps ar…

math.SG2022★ 2 cited

Lagrangian intersections and cuplength in generalised cohomology theories

Amanda Hirschi, Noah Porcelli

We find lower bounds on the number of intersection points between two relatively exact Hamiltonian isotopic Lagrangians. The bounds are given in terms of the cuplength of the Lagra…

math.SG2022★ 1 cited

Families of relatively exact Lagrangians, free loop spaces and generalised homology

Noah Porcelli

We prove that (under appropriate orientation conditions, depending on $R$ ) a Hamiltonian isotopy $ψ^{1}$ of a symplectic manifold $(M, ω)$ fixing a relatively exact Lagrangian $L$ se…