## Figures from this paper

## 23 Citations

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We study Lagrangian cobordism groups of oriented surfaces of genus greater than two. We compute the immersed oriented Lagrangian cobordism group of these surfaces. We show that a variant of this…

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We study the derived Hall algebra of the partially wrapped Fukaya category of a surface. We give an explicit description of the Hall algebra for the disk with $m$ marked intervals and we give a…

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We compute the Lagrangian cobordism group of the standard symplectic 2-torus and show that it is isomorphic to the Grothendieck group of its derived Fukaya category. The proofs use homological mirror…

The Fukaya Category of the Elliptic Curve as an Algebra over the Feynman Transform

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UNIVERSITY OF CALIFORNIA, SAN DIEGO The Fukaya Category of the Elliptic Curve as an Algebra over the Feynman Transform A dissertation submitted in partial satisfaction of the requirements for the…

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We explain how to generalize Lazzarini’s structural Theorem from [Laz11] to the case of curves with boundary on a given Lagrangian immersion. As a consequence of this result, we show that we can…

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In this chapter we outline some applications of Homological Mirror Symmetry to classical problems in Algebraic Geometry, like rationality of algebraic varieties and the study of algebraic cycles.…

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We derive a formula expanding the bracket with respect to a natural deformation parameter. The expansion is in terms of a two-variable polynomial algebra of diagram resolutions generated by basic…

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