Accessible Requires Authentication Published by De Gruyter March 29, 2013

On the counting of holomorphic discs in toric Fano manifolds

Cheol-Hyun Cho
From the journal


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.

This work was supported by the National Foundation of Korea (NRF) grant funded by the Korean Government (MEST), No. 20120000795.

Published Online: 2013-03-29
Published in Print: 2013-04

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