Iterated integrals and cycles on algebraic manifolds:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
River Edge, NJ [u.a.]
World Scientific
2004
|
| Series: | Nankai tracts in mathematics
7 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 108 S. |
| ISBN: | 981238720X |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface
vii
1.
Iterateti
Integrals,
Chen s Flat Connection and
πι
1
1.1
Introduction
........................... 1
1.2
Differential equations
...................... 2
1.3
Program
............................. 7
1.4
Lie algebras
........................... 8
1.5
Chen s Lie algebra and connection
.............. 14
1.6
Some work of Quillen
...................... 19
1.7
Group homology
........................ 21
1.8
The basic isomorphisms
.................... 25
1.9
Lattices in
nilpotent
Lie groups
................ 26
1.10
Some Hodge theory
...................... 28
2.
Iterated Integrals on Compact Riemann Surfaces
35
2.1
Introduction
........................... 35
2.2
Generalities on Riemann surfaces and iterated integrals
. . 35
2.3
Harmonic volumes and iterated integrals
........... 42
2.4
Use of the Jacobian
....................... 45
2.5
Variational formula for harmonic volume
........... 47
2.6
Algebraic equivalence and homological equivalence of alge¬
braic cycles
........................... 52
2.7
Calculations for the degree
4
Fermat
Curve
......... 55
2.8
Currents and Hodge theory
.................. 67
3.
The Generalized Linking Pairing and the Heat Kernel
73
xii
Iterated Integrals and Cycles on Algebraic Manifolds
3.1
Introduction
........................... 73
3.2
The main theorem
....................... 84
Appendix: Orientations, Fiber Integration
95
Bibliography
101
Lisí
of Notations
103
Index
107
|
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| id | DE-604.BV019345302 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:58:07Z |
| institution | BVB |
| isbn | 981238720X |
| language | English |
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| physical | XII, 108 S. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
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| publisher | World Scientific |
| record_format | marc |
| series | Nankai tracts in mathematics |
| series2 | Nankai tracts in mathematics |
| spelling | Harris, Bruno Verfasser aut Iterated integrals and cycles on algebraic manifolds Bruno Harris River Edge, NJ [u.a.] World Scientific 2004 XII, 108 S. txt rdacontent n rdamedia nc rdacarrier Nankai tracts in mathematics 7 Cycles algébriques ram Intégrales ram Nombres algébriques, Théorie des ram Variétés (mathématiques) ram Iteriertes Integral (DE-588)4791590-0 gnd rswk-swf Algebraische Mannigfaltigkeit (DE-588)4128509-8 gnd rswk-swf Algebraische Zykel (DE-588)4141856-6 gnd rswk-swf Algebraische Mannigfaltigkeit (DE-588)4128509-8 s Iteriertes Integral (DE-588)4791590-0 s Algebraische Zykel (DE-588)4141856-6 s DE-604 Nankai tracts in mathematics 7 (DE-604)BV014017593 7 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012809660&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Harris, Bruno Iterated integrals and cycles on algebraic manifolds Nankai tracts in mathematics Cycles algébriques ram Intégrales ram Nombres algébriques, Théorie des ram Variétés (mathématiques) ram Iteriertes Integral (DE-588)4791590-0 gnd Algebraische Mannigfaltigkeit (DE-588)4128509-8 gnd Algebraische Zykel (DE-588)4141856-6 gnd |
| subject_GND | (DE-588)4791590-0 (DE-588)4128509-8 (DE-588)4141856-6 |
| title | Iterated integrals and cycles on algebraic manifolds |
| title_auth | Iterated integrals and cycles on algebraic manifolds |
| title_exact_search | Iterated integrals and cycles on algebraic manifolds |
| title_full | Iterated integrals and cycles on algebraic manifolds Bruno Harris |
| title_fullStr | Iterated integrals and cycles on algebraic manifolds Bruno Harris |
| title_full_unstemmed | Iterated integrals and cycles on algebraic manifolds Bruno Harris |
| title_short | Iterated integrals and cycles on algebraic manifolds |
| title_sort | iterated integrals and cycles on algebraic manifolds |
| topic | Cycles algébriques ram Intégrales ram Nombres algébriques, Théorie des ram Variétés (mathématiques) ram Iteriertes Integral (DE-588)4791590-0 gnd Algebraische Mannigfaltigkeit (DE-588)4128509-8 gnd Algebraische Zykel (DE-588)4141856-6 gnd |
| topic_facet | Cycles algébriques Intégrales Nombres algébriques, Théorie des Variétés (mathématiques) Iteriertes Integral Algebraische Mannigfaltigkeit Algebraische Zykel |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012809660&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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