# Superfiltered $A_\infty$-deformations of the exterior algebra, and local mirror symmetry

27 Oct 2019 Smith Jack

The exterior algebra $E$ on a finite-rank free module $V$ carries a $\mathbb{Z}/2$-grading and an increasing filtration, and the $\mathbb{Z}/2$-graded filtered deformations of $E$ as an associative algebra are the familiar Clifford algebras, classified by quadratic forms on $V$. We extend this result to $A_\infty$-algebra deformations $\mathcal{A}$, showing that they are classified by formal functions on $V$... (read more)

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• SYMPLECTIC GEOMETRY
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