113 citations · 788 across the 36 of their papers we have counts for
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math.SG2023★ 1 cited
Relating categorical dimensions in topology and symplectic geometry
Andrew Hanlon, Jeff Hicks, Oleg Lazarev
We study several notions of dimension for (pre-)triangulated categories naturally arising from topology and symplectic geometry. We prove new bounds on these dimensions and raise s…
math.SG2020★ 12 cited
Aspects of functoriality in homological mirror symmetry for toric varieties
Andrew Hanlon, Jeff Hicks
We study homological mirror symmetry for toric varieties, exploring the relationship between various Fukaya-Seidel categories which have been employed for constructing the mirror t…
math.SG2018★ 3 cited
Monodromy of monomially admissible Fukaya-Seidel categories mirror to toric varieties
Andrew Hanlon
Mirror symmetry for a toric variety involves Laurent polynomials whose symplectic topology is related to the algebraic geometry of the toric variety. We show that there is a monodr…