An invitation to quantum cohomology : Kontsevich's formula for rational plane curves
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The work An invitation to quantum cohomology : Kontsevich's formula for rational plane curves represents a distinct intellectual or artistic creation found in University of Liverpool. This resource is a combination of several types including: Work, Language Material, Books.
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An invitation to quantum cohomology : Kontsevich's formula for rational plane curves
Resource Information
The work An invitation to quantum cohomology : Kontsevich's formula for rational plane curves represents a distinct intellectual or artistic creation found in University of Liverpool. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 An invitation to quantum cohomology : Kontsevich's formula for rational plane curves
 Title remainder
 Kontsevich's formula for rational plane curves
 Statement of responsibility
 Joachim Kock, Israel Vainsencher
 Title variation
 Kontsevich's formula for rational plane curves
 Language
 eng
 Summary
 "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 in initially established in the framework of classical enumerative geometry, then as a statement about reconstruction for GromovWitten invariants, and finally, using generating functions, as a special case of the associativity of the quantum product." "Emphasis is given throughout the exposition of 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 to 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 selfstudy, as a text for a minicourse 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."Jacket
 Cataloging source
 GW5XE
 Dewey number
 516.3/5
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA607
 LC item number
 .K63 2004eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Progress in mathematics
 Series volume
 vol. 249
Context
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 An invitation to quantum cohomology : Kontsevich's formula for rational plane curves, Joachim Kock, Israel Vainsencher, (electronic book)
 An invitation to quantum cohomology : Kontsevich's formula for rational plane curves, Joachim Kock, Israel Vainsencher, (electronic book)
 An invitation to quantum cohomology : Kontsevich's formula for rational plane curves, Joachim Kock, Israel Vainsencher, (electronic book)
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/resource/M97STHX8P5A/" typeof="CreativeWork http://bibfra.me/vocab/lite/Work"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/resource/M97STHX8P5A/">An invitation to quantum cohomology : Kontsevich's formula for rational plane curves</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>