An Invitation to Quantum Cohomology (Record no. 59672)

MARC details
000 -LEADER
fixed length control field 03726nam a22005775i 4500
001 - CONTROL NUMBER
control field 978-0-8176-4495-6
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20251006084435.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 100301s2007 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780817644956
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 99780817644956
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-0-8176-4495-6
Source of number or code doi
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 516.35
Edition information 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Kock, Joachim.
Relator term author.
245 13 - TITLE STATEMENT
Title An Invitation to Quantum Cohomology
Medium [electronic resource] :
Remainder of title Kontsevich's Formula for Rational Plane Curves /
Statement of responsibility, etc. by Joachim Kock, Israel Vainsencher ; edited by Hyman Bass, Joseph Oesterlé, Alan Weinstein.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Boston, MA :
Name of producer, publisher, distributor, manufacturer Birkhäuser Boston,
Date of production, publication, distribution, manufacture, or copyright notice 2007.
300 ## - PHYSICAL DESCRIPTION
Extent XII, 159 p.
Other physical details online resource.
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
Encoding format PDF
Source rda
490 1# - SERIES STATEMENT
Series statement Progress in Mathematics ;
Volume/sequential designation 249
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Prologue: Warming Up with Cross Ratios, and the Definition of Moduli Space -- Stable n-pointed Curves -- Stable Maps -- Enumerative Geometry via Stable Maps -- Gromov-Witten Invariants -- Quantum Cohomology.
520 ## - SUMMARY, ETC.
Summary, etc. This book is an elementary introduction to stable maps and quantum cohomology, starting with an introduction to stable pointed curves, and culminating with a proof of the associativity of the quantum product. The viewpoint is mostly that of enumerative geometry, and the red thread of the exposition is the problem of counting rational plane curves. Kontsevich's formula is initially established in the framework of classical enumerative geometry, then as a statement about reconstruction for Gromov-Witten invariants, and finally, using generating functions, as a special case of the associativity of the quantum product. Emphasis is given throughout the exposition to examples, heuristic discussions, and simple applications of the basic tools to best convey the intuition behind the subject. The book demystifies these new quantum techniques by showing how they fit into classical algebraic geometry. Some familiarity with basic algebraic geometry and elementary intersection theory is assumed. Each chapter concludes with some historical comments and an outline of key topics and themes as a guide for further study, followed by a collection of exercises that complement the material covered and reinforce computational skills. As such, the book is ideal for self-study, as a text for a mini-course in quantum cohomology, or as a special topics text in a standard course in intersection theory. The book will prove equally useful to graduate students in the classroom setting as to researchers in geometry and physics who wish to learn about the subject.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICS.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element GEOMETRY, ALGEBRAIC.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element K-THEORY.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element GEOMETRY.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element ALGEBRAIC TOPOLOGY.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICAL PHYSICS.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICS.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element ALGEBRAIC GEOMETRY.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element K-THEORY.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICAL METHODS IN PHYSICS.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element ALGEBRAIC TOPOLOGY.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element GEOMETRY.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element APPLICATIONS OF MATHEMATICS.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Vainsencher, Israel.
Relator term author.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Bass, Hyman.
Relator term editor.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Oesterlé, Joseph.
Relator term editor.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Weinstein, Alan.
Relator term editor.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9780817644567
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Progress in Mathematics ;
Volume/sequential designation 249
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1007/978-0-8176-4495-6">http://dx.doi.org/10.1007/978-0-8176-4495-6</a>
Public note Ver el texto completo en las instalaciones del CICY
912 ## -
-- ZDB-2-SMA
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type Libros electrónicos
Holdings
Lost status Source of classification or shelving scheme Damaged status Not for loan Collection Home library Current library Shelving location Date acquired Total checkouts Full call number Date last seen Price effective from Koha item type
  Dewey Decimal Classification     Libro electrónico CICY CICY Libro electrónico 06.10.2025   516.35 06.10.2025 06.10.2025 Libros electrónicos