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 |