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Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


An Invitation to Quantum Cohomology (Record no. 425617)

MARC details
000 -LEADER
fixed length control field 03980nam a22005655i 4500
020 ## - INTERNATIONAL STANDARD BOOKNUMBER
International Standard Book Number 9780817644956
-- 978-0-8176-4495-6
024 7# -
-- 10.1007/978-0-8176-4495-6
-- doi
040 ## -
-- ISI Library, Kolkata
050 #4 -
-- QA564-609
072 #7 -
-- PBMW
-- bicssc
072 #7 -
-- MAT012010
-- bisacsh
072 #7 -
-- PBMW
-- thema
082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER
Classification number 516.35
Edition number 23
245 13 - TITLE STATEMENT
Title An Invitation to Quantum Cohomology
Medium [electronic resource] :
Remainder of title Kontsevich’s Formula for Rational Plane Curves.
942 ## - ADDED ENTRY ELEMENTS(KOHA)
Koha item type E-BOOKS
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS
Place of production, publication, distribution, manufacture Boston, MA :
Name of producer, publisher, distributor, manufacturer Birkhäuser Boston,
Date of production, publication, distribution, manufacture 2007.
300 ## -
-- XIV, 162 p.
-- 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 ## -
-- text file
-- PDF
-- rda
490 1# -
-- Progress in Mathematics,
-- 0743-1643 ;
-- 249
505 0# -
-- 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 ## -
-- 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 -
-- Geometry, algebraic.
650 #0 -
-- K-theory.
650 #0 -
-- Mathematical physics.
650 #0 -
-- Algebraic topology.
650 #0 -
-- Geometry.
650 #0 -
-- Mathematics.
650 14 -
-- Algebraic Geometry.
-- http://scigraph.springernature.com/things/product-market-codes/M11019
650 24 -
-- K-Theory.
-- http://scigraph.springernature.com/things/product-market-codes/M11086
650 24 -
-- Mathematical Methods in Physics.
-- http://scigraph.springernature.com/things/product-market-codes/P19013
650 24 -
-- Algebraic Topology.
-- http://scigraph.springernature.com/things/product-market-codes/M28019
650 24 -
-- Geometry.
-- http://scigraph.springernature.com/things/product-market-codes/M21006
650 24 -
-- Applications of Mathematics.
-- http://scigraph.springernature.com/things/product-market-codes/M13003
710 2# -
-- SpringerLink (Online service)
773 0# -
-- Springer eBooks
776 08 -
-- Printed edition:
-- 9780817671129
776 08 -
-- Printed edition:
-- 9780817644567
830 #0 -
-- Progress in Mathematics,
-- 0743-1643 ;
-- 249
856 40 -
-- https://doi.org/10.1007/978-0-8176-4495-6
912 ## -
-- ZDB-2-SMA
950 ## -
-- Mathematics and Statistics (Springer-11649)

No items available.

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