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tt *-Geometry on the Big Phase Space

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Abstract

The big phase space, the geometric setting for the study of quantum cohomology with gravitational descendants, is a complex manifold and consists of an infinite number of copies of the small phase space. The aim of this paper is to define a Hermitian geometry on the big phase space.

Using the approach of Dijkgraaf and Witten (Nucl Phys B 342:486–522, 1990), we lift various geometric structures of the small phase space to the big phase space. The main results of our paper state that various notions from tt *-geometry are preserved under such liftings.

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Authors and Affiliations

  1. Institute of Mathematics “Simion Stoilow” of the Romanian Academy, Research Unit 4, Calea Grivitei no. 21, Sector 1, Bucharest, Romania

    Liana David

  2. School of Mathematics and Statistics, University of Glasgow, Glasgow, G12 8QQ, UK

    Ian A. B. Strachan

Authors
  1. Liana David
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  2. Ian A. B. Strachan
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Correspondence to Ian A. B. Strachan.

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Communicated by A. Klemm

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David, L., Strachan, I.A.B. tt *-Geometry on the Big Phase Space. Commun. Math. Phys. 329, 295–323 (2014). https://doi.org/10.1007/s00220-014-1964-6

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  • DOI: https://doi.org/10.1007/s00220-014-1964-6

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