Isabella Khan

activity

20242026

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

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…

math.GT2024

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…

The Heegaard Floer d-invariant for more rational homology spheres

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

Bordered algebras and the wrapped Fukaya category

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

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

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