The Resource 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)
Resource Information
The item An invitation to quantum cohomology : Kontsevich's formula for rational plane curves, Joachim Kock, Israel Vainsencher, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Sydney Jones Library, University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item An invitation to quantum cohomology : Kontsevich's formula for rational plane curves, Joachim Kock, Israel Vainsencher, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Sydney Jones Library, University of Liverpool.
This item is available to borrow from 1 library branch.
- 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 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 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 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."--Jacket
- Language
- eng
- Extent
- 1 online resource (xii, 159 p.)
- Note
- Revised and expanded translation of the original Portuguese edition (A fórmula de Kontsevich para curvas racionais planas. Rio de Janeiro : Instituto de Matemática Pura e Aplicada, c1999)
- Contents
-
- Stable n-pointed curves
- Stable maps
- Enumerative geometry via stable maps
- Gromov-Witten invariants
- Quantum cohomology
- Isbn
- 9780817644956
- Label
- An invitation to quantum cohomology : Kontsevich's formula for rational plane curves
- Title
- An invitation to quantum cohomology
- 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 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 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 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."--Jacket
- Cataloging source
- GW5XE
- http://library.link/vocab/creatorDate
- 1967-
- http://library.link/vocab/creatorName
- Kock, Joachim
- 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
- http://library.link/vocab/relatedWorkOrContributorName
- Vainsencher, Israel
- Series statement
- Progress in mathematics
- Series volume
- vol. 249
- http://library.link/vocab/subjectName
-
- Geometry, Enumerative
- Quantum theory
- Homology theory
- Curves, Plane
- Géométrie énumérative
- Théorie quantique
- Homologie
- Courbes planes
- Label
- An invitation to quantum cohomology : Kontsevich's formula for rational plane curves, Joachim Kock, Israel Vainsencher, (electronic book)
- Note
- Revised and expanded translation of the original Portuguese edition (A fórmula de Kontsevich para curvas racionais planas. Rio de Janeiro : Instituto de Matemática Pura e Aplicada, c1999)
- Bibliography note
- Includes bibliographical references (p. [149]-155) and index
- Color
- multicolored
- Contents
- Stable n-pointed curves -- Stable maps -- Enumerative geometry via stable maps -- Gromov-Witten invariants -- Quantum cohomology
- Control code
- SPR232363311
- Dimensions
- unknown
- Extent
- 1 online resource (xii, 159 p.)
- Form of item
- online
- Isbn
- 9780817644956
- Other physical details
- ill.
- Specific material designation
- remote
- Label
- An invitation to quantum cohomology : Kontsevich's formula for rational plane curves, Joachim Kock, Israel Vainsencher, (electronic book)
- Note
- Revised and expanded translation of the original Portuguese edition (A fórmula de Kontsevich para curvas racionais planas. Rio de Janeiro : Instituto de Matemática Pura e Aplicada, c1999)
- Bibliography note
- Includes bibliographical references (p. [149]-155) and index
- Color
- multicolored
- Contents
- Stable n-pointed curves -- Stable maps -- Enumerative geometry via stable maps -- Gromov-Witten invariants -- Quantum cohomology
- Control code
- SPR232363311
- Dimensions
- unknown
- Extent
- 1 online resource (xii, 159 p.)
- Form of item
- online
- Isbn
- 9780817644956
- Other physical details
- ill.
- Specific material designation
- remote
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/An-invitation-to-quantum-cohomology-/Nbp5onm9xBg/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/An-invitation-to-quantum-cohomology-/Nbp5onm9xBg/">An invitation to quantum cohomology : Kontsevich's formula for rational plane curves, Joachim Kock, Israel Vainsencher, (electronic book)</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/">Sydney Jones Library, University of Liverpool</a></span></span></span></span></div>
