Isabella Khan

collaborators

4 papers

math.GT2026

The Heegaard Floer d-invariant for more rational homology spheres

Isabella Khan

The Heegaard Floer d-invariant for a rational homology sphere Y and spin $^{c}$ -structure $s$ is defined as the minimal absolute grading of a generator of $HF^+(Y; \mathfra…

math.GT2025

Koszul dual $A_{\infty}$ -algebras from star-shaped diagrams -- part 2

Isabella Khan

This paper proves a Koszul duality result between weighted $A_{\infty}$ -algebras constructed in the author's previous work. In the process, we construct a new box tensor…

math.GT2025

Koszul dual $A_{\infty}$ algebras for star-shaped diagrams -- Part 1

Isabella Khan

By slicing the Heegaard diagram for a given $3$ -manifold in a particular way, it is possible to construct $A_{\infty}$ -bimodules, the tensor product of which retrieves th…

math.GT2025

Bordered algebras and the wrapped Fukaya category

Isabella Khan

This paper establishes an isomorphism between endomorphism algebras from the wrapped Fukaya category of a type of punctured surface, and the class of A-infinity algebras related to…

The Heegaard Floer d-invariant for more rational homology spheres

Koszul dual A∞​-algebras from star-shaped diagrams -- part 2

Koszul dual A∞​ algebras for star-shaped diagrams -- Part 1

Bordered algebras and the wrapped Fukaya category

Koszul dual $A_{\infty}$ -algebras from star-shaped diagrams -- part 2

Koszul dual $A_{\infty}$ algebras for star-shaped diagrams -- Part 1