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On the counting of holomorphic discs in toric Fano manifolds
Published/Copyright:
March 29, 2013
Abstract
Open Gromov-Witten invariants in general are not well-defined. We discuss in detail the enumerative numbers of the Clifford torus T2 in ℂP2. For cyclic A∞-algebras, we show that a certain generalized way of counting may be defined up to Hochschild or cyclic boundary elements. In particular we obtain a well-defined function on Hochschild or cyclic homology of a cyclic A∞-algebra, which is invariant under cyclic A∞ homomorphisms. We discuss the example of the Clifford torus T2 and compute the invariant for a specific cyclic cohomology class.
Published Online: 2013-03-29
Published in Print: 2013-04
© 2013 by Walter de Gruyter GmbH & Co.
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Articles in the same Issue
- Masthead
- On the counting of holomorphic discs in toric Fano manifolds
- Secant degree of toric surfaces and delightful planar toric degenerations
- Fractal curvature measures of self-similar sets
- On Lipschitz maps and dimension
- Solvsolitons associated with graphs
- On the Hessian geometry of a real polynomial hyperbolic near infinity
- Permutation polynomials and translation planes of even order
- On the derivative cones of polyhedral cones
- The conjugacy classes of finite nonsolvable subgroups in the plane Cremona group
- Gradient estimates for the p-Laplace heat equation under the Ricci flow
- The automorphism group of the generalized Giulietti–Korchmáros function field
