Identification of the Givental formula with the spectral curve topological recursion procedure

Authors :: Dunin-Barkowski, P.
Orantin, N.
Shadrin, S.
Spitz, L.
Source :: Communications in Mathematical Physics, volume 328, issue 2, pp 669-700 (June 2014)
Publication Year :: 2012
Abstract: We identify the Givental formula for the ancestor formal Gromov-Witten potential with a version of the topological recursion procedure for a collection of isolated local germs of the spectral curve. As an application we prove a conjecture of Norbury and Scott on the reconstruction of the stationary sector of the Gromov-Witten potential of $\CP1$ via a particular spectral curve.<br />Comment: 36 pages

Subjects :: Mathematical Physics
High Energy Physics - Theory
Mathematics - Algebraic Geometry

Database :: arXiv
Journal :: Communications in Mathematical Physics, volume 328, issue 2, pp 669-700 (June 2014)
Publication Type :: Report
Accession number :: edsarx.1211.4021
Document Type :: Working Paper
Full Text :: https://doi.org/10.1007/s00220-014-1887-2

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