Ivan Smith

activity

20242026

collaborators

6 papers

math.AG2026

Isolated Hypersurface Singularities May Be Stably Degenerate

Mark McLean, Ivan Smith

We prove the existence of stably degenerate hypersurface singularities. Ingredients in the proof include the mixed Hodge structure on the contact locus of a singularity and that mo…

math.SG2026

Splitting Symplectic Monodromy

Ailsa Keating, Ivan Smith, Michael Wemyss

We discuss some examples in which symplectic monodromy (provably or conjecturally) splits off the symplectic mapping class group, hoping to illustrate different techniques and inpu…

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.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

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…