tt*-geometry on the big phase space

David, L. and Strachan, I. A. B. (2014) tt*-geometry on the big phase space. Communications in Mathematical Physics, 329(1), pp. 295-323. (doi: 10.1007/s00220-014-1964-6)

91430.pdf - Accepted Version



The big phase space, the geometric setting for the study of quantum cohomology with gravitational descendents, 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, 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.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Strachan, Professor Ian and David, Dr Liana
Authors: David, L., and Strachan, I. A. B.
College/School:College of Science and Engineering > School of Mathematics and Statistics
Journal Name:Communications in Mathematical Physics
ISSN (Online):1432-0916
Copyright Holders:Copyright © 2014 Springer-Verlag Berlin Heidelberg
First Published:First published in Communications in Mathematical Physics 329(1):295-323
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher
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