Microlocal Sheaves on Pinwheels
classification
🧮 math.SG
math.ATmath.RT
keywords
wrappedmicrolocalsheavesballcalculatecalledcasecategory
read the original abstract
In this thesis, we study the wrapped Fukaya category of the rational homology ball $B_{p,q}$ and the traditional/wrapped microlocal sheaves on its skeleton $L_{p,q}$, called pinwheel. We explicitly calculate both for $q=1$, and show they match in wrapped case.
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Forward citations
Cited by 2 Pith papers
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The nearby Lagrangian conjecture for pinwheels
Any two Lagrangian (p,q)-pinwheel embeddings in B_{p,q} are Hamiltonian isotopic, establishing the nearby Lagrangian conjecture for these singular objects via neck-stretching and a pintwist generator for Symp_c(B_{p,q}).
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The nearby Lagrangian conjecture for pinwheels
Any two Lagrangian (p,q)-pinwheel embeddings in B_{p,q} are Hamiltonian isotopic, with Symp_c(B_{p,q}) generated by the pintwist τ_{p,q}.
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