The Moduli Space of Curves:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1995
|
| Schriftenreihe: | Progress in Mathematics
129 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The moduli space Mg of curves of fixed genus g – that is, the algebraic variety that parametrizes all curves of genus g – is one of the most intriguing objects of study in algebraic geometry these days. Its appeal results not only from its beautiful mathematical structure but also from recent developments in theoretical physics, in particular in conformal field theory. Leading experts in the field explore in this volume both the structure of the moduli space of curves and its relationship with physics through quantum cohomology. Altogether, this is a lively volume that testifies to the ferment in the field and gives an excellent view of the state of the art for both mathematicians and theoretical physicists. It is a persuasive example of the famous Wignes comment, and its converse, on "the unreasonable effectiveness of mathematics in the natural science." Witteen’s conjecture in 1990 describing the intersection behavior of tautological classes in the cohomology of Mg arose directly from string theory. Shortly thereafter a stunning proof was provided by Kontsevich who, in this volume, describes his solution to the problem of counting rational curves on certain algebraic varieties and includes numerous suggestions for further development. The same problem is given an elegant treatment in a paper by Manin. There follows a number of contributions to the geometry, cohomology, and arithmetic of the moduli spaces of curves. In addition, several contributors address quantum cohomology and conformal field theory |
| Beschreibung: | 1 Online-Ressource (XII, 563p) |
| ISBN: | 9781461242642 9781461287148 |
| DOI: | 10.1007/978-1-4612-4264-2 |
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| 500 | |a The moduli space Mg of curves of fixed genus g – that is, the algebraic variety that parametrizes all curves of genus g – is one of the most intriguing objects of study in algebraic geometry these days. Its appeal results not only from its beautiful mathematical structure but also from recent developments in theoretical physics, in particular in conformal field theory. Leading experts in the field explore in this volume both the structure of the moduli space of curves and its relationship with physics through quantum cohomology. Altogether, this is a lively volume that testifies to the ferment in the field and gives an excellent view of the state of the art for both mathematicians and theoretical physicists. It is a persuasive example of the famous Wignes comment, and its converse, on "the unreasonable effectiveness of mathematics in the natural science." Witteen’s conjecture in 1990 describing the intersection behavior of tautological classes in the cohomology of Mg arose directly from string theory. Shortly thereafter a stunning proof was provided by Kontsevich who, in this volume, describes his solution to the problem of counting rational curves on certain algebraic varieties and includes numerous suggestions for further development. The same problem is given an elegant treatment in a paper by Manin. There follows a number of contributions to the geometry, cohomology, and arithmetic of the moduli spaces of curves. In addition, several contributors address quantum cohomology and conformal field theory | ||
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Dijkgraaf, Robbert H. |
| author_facet | Dijkgraaf, Robbert H. |
| author_role | aut |
| author_sort | Dijkgraaf, Robbert H. |
| author_variant | r h d rh rhd |
| building | Verbundindex |
| bvnumber | BV042420258 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)879624698 (DE-599)BVBBV042420258 |
| dewey-full | 514 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514 |
| dewey-search | 514 |
| dewey-sort | 3514 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-4264-2 |
| format | Electronic eBook |
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| id | DE-604.BV042420258 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:06Z |
| institution | BVB |
| isbn | 9781461242642 9781461287148 |
| language | English |
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| spelling | Dijkgraaf, Robbert H. Verfasser aut The Moduli Space of Curves edited by Robbert H. Dijkgraaf, Carel F. Faber, Gerard B. M. Geer Boston, MA Birkhäuser Boston 1995 1 Online-Ressource (XII, 563p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematics 129 The moduli space Mg of curves of fixed genus g – that is, the algebraic variety that parametrizes all curves of genus g – is one of the most intriguing objects of study in algebraic geometry these days. Its appeal results not only from its beautiful mathematical structure but also from recent developments in theoretical physics, in particular in conformal field theory. Leading experts in the field explore in this volume both the structure of the moduli space of curves and its relationship with physics through quantum cohomology. Altogether, this is a lively volume that testifies to the ferment in the field and gives an excellent view of the state of the art for both mathematicians and theoretical physicists. It is a persuasive example of the famous Wignes comment, and its converse, on "the unreasonable effectiveness of mathematics in the natural science." Witteen’s conjecture in 1990 describing the intersection behavior of tautological classes in the cohomology of Mg arose directly from string theory. Shortly thereafter a stunning proof was provided by Kontsevich who, in this volume, describes his solution to the problem of counting rational curves on certain algebraic varieties and includes numerous suggestions for further development. The same problem is given an elegant treatment in a paper by Manin. There follows a number of contributions to the geometry, cohomology, and arithmetic of the moduli spaces of curves. In addition, several contributors address quantum cohomology and conformal field theory Mathematics Geometry, algebraic Topology Algebraic topology Algebraic Topology Algebraic Geometry Mathematik Modulraum (DE-588)4183462-8 gnd rswk-swf Algebraische Kurve (DE-588)4001165-3 gnd rswk-swf Modulitheorie (DE-588)4203418-8 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 1994 Texel gnd-content Algebraische Kurve (DE-588)4001165-3 s Modulitheorie (DE-588)4203418-8 s 2\p DE-604 Modulraum (DE-588)4183462-8 s 3\p DE-604 Faber, Carel F. Sonstige oth Geer, Gerard B. M. Sonstige oth https://doi.org/10.1007/978-1-4612-4264-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dijkgraaf, Robbert H. The Moduli Space of Curves Mathematics Geometry, algebraic Topology Algebraic topology Algebraic Topology Algebraic Geometry Mathematik Modulraum (DE-588)4183462-8 gnd Algebraische Kurve (DE-588)4001165-3 gnd Modulitheorie (DE-588)4203418-8 gnd |
| subject_GND | (DE-588)4183462-8 (DE-588)4001165-3 (DE-588)4203418-8 (DE-588)1071861417 |
| title | The Moduli Space of Curves |
| title_auth | The Moduli Space of Curves |
| title_exact_search | The Moduli Space of Curves |
| title_full | The Moduli Space of Curves edited by Robbert H. Dijkgraaf, Carel F. Faber, Gerard B. M. Geer |
| title_fullStr | The Moduli Space of Curves edited by Robbert H. Dijkgraaf, Carel F. Faber, Gerard B. M. Geer |
| title_full_unstemmed | The Moduli Space of Curves edited by Robbert H. Dijkgraaf, Carel F. Faber, Gerard B. M. Geer |
| title_short | The Moduli Space of Curves |
| title_sort | the moduli space of curves |
| topic | Mathematics Geometry, algebraic Topology Algebraic topology Algebraic Topology Algebraic Geometry Mathematik Modulraum (DE-588)4183462-8 gnd Algebraische Kurve (DE-588)4001165-3 gnd Modulitheorie (DE-588)4203418-8 gnd |
| topic_facet | Mathematics Geometry, algebraic Topology Algebraic topology Algebraic Topology Algebraic Geometry Mathematik Modulraum Algebraische Kurve Modulitheorie Konferenzschrift 1994 Texel |
| url | https://doi.org/10.1007/978-1-4612-4264-2 |
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