Ivan Smith

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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.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…