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Singularities and noncommutative Frobenius manifolds

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Abstract

We prove that the quaternionic miniversal deformations of an A n singularity have the structure of a noncommutative Frobenius manifold in the sense of the extended cohomological field theory.

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Authors and Affiliations

  1. Independent University of Moscow, Bol’shoi Vlas’evskii per. 11, Moscow, 119002, Russia

    S. M. Natanzon

  2. Moscow State University, Leninskie gory, Moscow, 119991, Russia

    S. M. Natanzon

  3. Institute for Theoretical and Experimental Physics, ul. Bol’shaya Cheremushkinskaya 25, Moscow, 117218, Russia

    S. M. Natanzon

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  1. S. M. Natanzon
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Correspondence to S. M. Natanzon.

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Dedicated to V.I. Arnold

Original Russian Text © S.M. Natanzon, 2007, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2007, Vol. 259, pp. 143–155.

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Natanzon, S.M. Singularities and noncommutative Frobenius manifolds. Proc. Steklov Inst. Math. 259, 137–148 (2007). https://doi.org/10.1134/S0081543807040104

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  • DOI: https://doi.org/10.1134/S0081543807040104

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