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On the counting of holomorphic discs in toric Fano manifolds by Cho, Cheol-Hyun is a scholarly article available to read on EtoBox.

What is On the counting of holomorphic discs in toric Fano manifolds about?

Open Gromov-Witten invariants in general are not well-defined. We discuss in detail the enumerative numbers of the Clifford torus $T^2$ in $\CP^2$. For cyclic A-infinity algebras, we show that 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-infinity algebra, which has invariance property under cyclic A-infinity homomorphism. We discuss an example of Clifford torus $T^2$ and compute the invariant for a specific cyclic cohomology class.

Author

Cho, Cheol-Hyun

Published

2006

Language

EN