From Quantum Cohomology to Integrable Systems (Oxford Graduate Texts in Mathematics)/ (Record no. 176003)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 00408nam a2200133Ia 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0198565992 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | CUS |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510 |
| Item number | GUE/F |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Guest, Martin A. |
| 245 #0 - TITLE STATEMENT | |
| Title | From Quantum Cohomology to Integrable Systems (Oxford Graduate Texts in Mathematics)/ |
| Statement of responsibility, etc. | Martin A.Guest |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | New York: |
| Name of publisher, distributor, etc. | Oxford University Press, USA, |
| Date of publication, distribution, etc. | 2008. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 305 p. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | <br/><br/>1. Cohomology and quantum cohomology xvii<br/>2. Differential equations and D-modules xx<br/>3. Integrable systems xxii<br/>1 The many faces of cohomology 1<br/>1.1 Simplicial homology 2<br/>1.2 Simplicial cohomology 3<br/>1.3 Other versions of homology and cohomology 4<br/>1.4 How To Think About Homology and cohomology 6<br/>1.5 Notation 7<br/>1.6 The symplectic volume function 10<br/>2 Quantum cohomology 12<br/>2.1 3-point Gromov-Witten invariants 12<br/>2.2 The quantum product 16<br/>2.3 Examples of the quantum cohomology algebra 19<br/>2.4 Homological geometry 29<br/>Contents<br/>3 Quantum differential equations 33<br/>3.1 The quantum differential equations 33<br/>3.2 Examples of quantum differential equations 39<br/>3.3 Intermission 43<br/>4 Linear differential equations in general 45<br/>4.1 Ordinary differential equations 46<br/>4.2 Partial differential equations 53<br/>4.3 Differential equations with spectral parameter 62<br/>4.4 Flat connections from extensions of D-modules 67<br/>4.5 Appendix: connections in differential geometry 71<br/>4.6 Appendix: self-adjointness 89<br/>5 The quantum D-module -IOq<br/>5.1 The quantum D-module 100<br/>5.2 The cyclic structure and the^-function 102<br/>5.3 Other properties 106<br/>5.4 Appendix: explicit formula for the>function 112<br/>6 Abstract quantum cohomology 116<br/>6.1 The Birkhoff factorization 116<br/>6.2 Quantization of algebra 124<br/>6.3 Digression on -modules 125<br/>6.4 Abstract quantum cohomology 130<br/>6.5 Properties of abstract quantum cohomology 135<br/>6.6 Computations for Fano type examples 138<br/>6.7 Beyond Fano type examples 144<br/>6.8 Towards integrable systems 152<br/>7 Integrable systems 154<br/>7.1 The KdV equation I55<br/>7.2 The mKdV equation I60<br/>7.3 Harmonic maps into Lie groups 164<br/>7.4 Harmonic maps into symmetric spaces 17i<br/>7.5 Pluriharmonic maps (and quantum cohomology) 176<br/>7.6 Summary;zero curvature equations 178<br/>8 Solving integrable systems 182<br/>8.1 The Grassmannian model<br/>8.2 The fundamental construction<br/>186 Solving the KdV equation: the Guiding Principle<br/>8.4 Solving.the KdV equation<br/>8.5 Solving the KdV equation: summary 202<br/>8.6 Solving the harmonic map equation<br/>8.7 D-module aspects<br/>Appendix: the Birkhoff and Iwasawa decompositions<br/>9 Quantum Cohomology As an integrable system 223<br/>9.1 Large quantum cohomology 224<br/>9.2 Frobenius manifolds 229<br/>9.3 Homogeneity 236<br/>9.4 Semisimple Frobenius manifolds 239<br/>10 Integrable systems and quantum cohomology 243<br/>10.1 Motivation: variations of Hodge structure (VHS) 244<br/>10.2 Mirror Symmetry: an example 255<br/>10.3 /?-version 265<br/>10.4 Loop group version 270<br/>10.5 Integrable systems of mirror symmetry type 276<br/>10.6 Further developments 287<br/> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | General Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Full call number | Accession number | Date last seen | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Central Library, Sikkim University | Central Library, Sikkim University | General Book Section | 29/08/2016 | 510 GUE/F | P31001 | 29/08/2016 | General Books |