Floer cohomology and pencils of quadrics
By I. Smith. 2010
77 citations recorded by the source corpus.
There is a classical relationship in algebraic geometry between a hyperelliptic curve and an associated pencil of quadric hypersurfaces. We investigate symplectic aspects of this relationship, with a view to applications in low-dimensional topology.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/35dbf9004bc1a1d440c53d1f182852290b7495fa
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Bounds on spectral norms and barcodes (2018, methodology): “(14) QH(L,Λmin,K) ∼= Λmin,K[X]/〈X(2) = cn q · 1〉 for cn ∈ C \ {0} holds by [106].”
- The monotone wrapped Fukaya category and the open-closed string map (2012, background): “There are also non-toric examples, for instance it holds for the Fano varieties given by a quadric and a complete intersection of two even-dimensional quadrics [34].”
- Quiver algebras as Fukaya categories (2013, background): “The paper [48] works over C, but the argument underlying the equivalence of (5.”
- Generating the Fukaya categories of Hamiltonian 𝐺-manifolds (2015, background): “The fact that a real ellipsoid in X split-generates the zero-summand of F(X; C) was proved in [60].”
- Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces (2012, result): “By a result of Bondal and Orlov [5], the derived category of coherent sheaves of the resulting manifold X admits a semi-orthogonal decomposition into subcategories equivalent to DCoh(H) and DCoh(V × C); and ideas similar to those of [43] can be used to study the Fukaya category of X .”