The Moduli Space of Curves

The Moduli Space of Curves
Author :
Publisher : Springer Science & Business Media
Total Pages : 584
Release :
ISBN-10 : 0817637842
ISBN-13 : 9780817637842
Rating : 4/5 (842 Downloads)

Book Synopsis The Moduli Space of Curves by : R. Dijkgraaf

Download or read book The Moduli Space of Curves written by R. Dijkgraaf and published by Springer Science & Business Media. This book was released on 1995-10-18 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: The moduli space Mg of curves of fixed genus g – that is, the algebraic variety that parametrizes all curves of genus g – is one of the most intriguing objects of study in algebraic geometry these days. Its appeal results not only from its beautiful mathematical structure but also from recent developments in theoretical physics, in particular in conformal field theory. Leading 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. Altogether, this is a lively volume that testifies to the ferment in the field and gives an excellent view of the state of the art for both mathematicians and theoretical physicists. It is a persuasive example of the famous Wignes comment, and its converse, on "the unreasonable effectiveness of mathematics in the natural science." Witteen’s conjecture in 1990 describing the intersection behavior of tautological classes in the cohomology of Mg arose directly from string theory. Shortly thereafter a stunning 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 numerous suggestions for further development. The same problem is given an elegant 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.


The Moduli Space of Curves Related Books

The Moduli Space of Curves
Language: en
Pages: 584
Authors: R. Dijkgraaf
Categories: Mathematics
Type: BOOK - Published: 1995-10-18 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The moduli space Mg of curves of fixed genus g – that is, the algebraic variety that parametrizes all curves of genus g – is one of the most intriguing obje
The Geometry of Moduli Spaces of Sheaves
Language: en
Pages: 345
Authors: Daniel Huybrechts
Categories: Mathematics
Type: BOOK - Published: 2010-05-27 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This edition has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces. The authors review changes in the
Algebraic Curves
Language: en
Pages: 237
Authors: Maxim E. Kazaryan
Categories: Mathematics
Type: BOOK - Published: 2019-01-21 - Publisher: Springer

DOWNLOAD EBOOK

This book offers a concise yet thorough introduction to the notion of moduli spaces of complex algebraic curves. Over the last few decades, this notion has beco
Moduli Spaces of Riemann Surfaces
Language: en
Pages: 371
Authors: Benson Farb
Categories: Mathematics
Type: BOOK - Published: 2013-08-16 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Mapping class groups and moduli spaces of Riemann surfaces were the topics of the Graduate Summer School at the 2011 IAS/Park City Mathematics Institute. This b
Moduli Spaces
Language: en
Pages: 347
Authors: Leticia Brambila
Categories: Mathematics
Type: BOOK - Published: 2014-03-13 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

A graduate-level introduction to some of the important contemporary ideas and problems in the theory of moduli spaces.