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OverviewDevelopments in theoretical physics, in particular in conformal field theory, have led to a surprising connection to algebraic geometry, and especially to the fundamental concept of the moduli space Mg of curves of genus g, which is the variety that parametrizes all curves of genus g. Experts in the field explore in this volume both the structure of the moduli space of curves and its relationship with physics through quantum cohomology. Witten's conjecture in 1990 describing the intersection behaviour of tautological classes in the cohomology of Mg arose directly from string theory. Shortly thereafter an interesting proof was provided by Kontsevich who, in this volume, describes his solution to the problem of counting rational curves on certain algebraic varieties and includes suggestions for further development. The same problem is given treatment in a paper by Manin. There follows a number of contributions to the geometry, cohomology and arithmetic of the moduli spaces of curves. In addition, several contributors address quantum cohomology and conformal field theory. Full Product DetailsAuthor: R. Dijkgraaf , etc.Publisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Volume: v. 129 ISBN: 9783764337841ISBN 10: 3764337842 Pages: 564 Publication Date: July 1995 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Replaced By: 9780817637842 Format: Hardback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |