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Calabi-Yau Manifolds and Related Geometries

Lectures at a Summer School in Nordfjordeid, Norway, June 2001

Part of the book series: Universitext (UTX)

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Table of contents (3 chapters)

  1. Front Matter

    Pages I-VIII
  2. Compact Hyperkähler Manifolds

    • Daniel Huybrechts
    Pages 161-225
  3. Back Matter

    Pages 227-243

Keywords

  • calabi-yau manifolds
  • hyperkahler manifolds
  • manifold
  • mirror symmetry
  • moduli space
  • special lagrangian submanifolds
  • symplectic geometry

Reviews

From the reviews:

"Summer schools in Nordfjordeid, Norway, have been organized regularly since 1996. Topics vary each year but there are always three series of lectures by invited experts with evening exercises. […] The themes of all three contributions are interrelated and together they give a nice introduction into a very interesting field of research on the border between mathematics and physics. l would like to strongly recommend the book to anybody interested in the topic."

(jbu) European Mathematical Society Newsletter, Sept. 2004, p. 44

"[...] This book is an excellent introduction to current research in the geometry of Calabi-Yau manifolds, hyper-Kähler manifolds, exceptional holonomy and mirror symmetry. [...] This is an excellent and useful book. The different chapters mostly fit together reasonably well [...]. It will be popular with anyone trying to learn about Kähler manifolds with c1=0 and mirror symmetry."

Richard P. Thomas, Mathematical Reviews, Clippings from Issue 2004c

"Summer schools in Nordfjordeid, Norway, have been organized regularly since 1996. … The school held in June 2001 was devoted to recent interaction between differential and algebraic geometry. The book consists of notes written by lecturers of the corresponding three series of lectures. … they give a nice introduction into a very interesting field of research on the border between mathematics and physics. I would like to strongly recommend the book to anybody interested in the topic." (EMS, September, 2004)

"This book is an excellent introduction to current research in the geometry of Calabi-Yau manifolds, hyper-Kähler manifolds, exceptional holonomy and mirror symmetry. … the choice of topics is a sensible one. … This is an excellent and useful book. … It will be popular with anyone trying to learn about Kähler manifolds with c1 = 0 and mirror symmetry." (Richard P. Thomas, Mathematical Reviews, 2004 c)

Authors, Editors and Affiliations

  • Department of Mathematics, Universtity of Oslo, Blindern, Oslo, Norway

    Geir Ellingsrud, Kristian Ranestad

  • Institute of Mathematics and Statistics, Universtity of Tromsø, Tromsø, Norway

    Loren Olson

  • Department of Mathematics, Universtity of Bergen, Bergen, Norway

    Stein A. Strømme

  • Mathematics Institute, University of Warwick, Coventry, UK

    Mark Gross

  • Lincoln College, Oxford, UK

    Dominic Joyce

  • Institut de Mathématiques, Université Paris 7 Denis Diderot, Paris Cedex 05, France

    Daniel Huybrechts

Bibliographic Information

  • Book Title: Calabi-Yau Manifolds and Related Geometries

  • Book Subtitle: Lectures at a Summer School in Nordfjordeid, Norway, June 2001

  • Authors: Mark Gross, Dominic Joyce, Daniel Huybrechts

  • Editors: Geir Ellingsrud, Kristian Ranestad, Loren Olson, Stein A. Strømme

  • Series Title: Universitext

  • DOI: https://doi.org/10.1007/978-3-642-19004-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2003

  • Softcover ISBN: 978-3-540-44059-8Published: 27 November 2002

  • eBook ISBN: 978-3-642-19004-9Published: 06 December 2012

  • Series ISSN: 0172-5939

  • Series E-ISSN: 2191-6675

  • Edition Number: 1

  • Number of Pages: VIII, 244

  • Number of Illustrations: 2 b/w illustrations

  • Topics: Differential Geometry, Algebraic Geometry, Topology

Buying options

eBook USD 69.99
Price excludes VAT (USA)
  • ISBN: 978-3-642-19004-9
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 89.99
Price excludes VAT (USA)