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The Total Ancestor Potential in Singularity Theory

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B-Model Gromov-Witten Theory

Part of the book series: Trends in Mathematics ((TM))

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Abstract

This is an extended version of a long lecture given on the workshop “Pedagogical workshop on B-model” held at the University of Michigan, Ann Arbor on 3–7 March 2014. The main goal is to prove that the total ancestor potential in singularity theory depends analytically on the deformation parameters.

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Notes

  1. 1.

    One of the pleasant outcomes of the workshop was that this conjecture was confirmed by generalizing the approach of [14].

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Acknowledgements

I am thankful to Y. Ruan for organizing the workshop and creating an inspiring environment. This work is supported by JSPS Grant-In-Aid 26800003 and by the World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan.

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Authors and Affiliations

  1. Kavli IPMU (WPI), The University of Tokyo, Kashiwa, Chiba, Japan

    Todor Milanov

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  1. Todor Milanov
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Correspondence to Todor Milanov .

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Editors and Affiliations

  1. San Francisco State University, San Francisco, CA, USA

    Emily Clader

  2. University of Michigan, Ann Arbor, MI, USA

    Yongbin Ruan

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Milanov, T. (2018). The Total Ancestor Potential in Singularity Theory. In: Clader, E., Ruan, Y. (eds) B-Model Gromov-Witten Theory. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-94220-9_6

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