Moduli spaces of local systems and higher Teichmüller theory:
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| Hauptverfasser: | , |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Bonn
Max-Planck-Inst.
2004
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| Schriftenreihe: | MPI
2004,76 |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 114 S. graph. Darst. |
Internformat
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Datensatz im Suchindex
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| adam_text | MODULI SPACES OF LOCAL SYSTEMS AND HIGHER TEICHMULLER THEORY V. V. FOCK
A. B. GONCHAROV SUB GOTTINGEN 7 218 169 68X K2005B5035
MAX-PLANCK-LNSTITUT FUR MATHEMATIK VIVATSGASSE 7 53111 BONN GERMANY
BROWN UNIVERSITY MPI 04-76 MODULI SPACES OF LOCAL SYSTEMS AND HIGHER
TEICHMULLER THEORY V.V. FOCK, A. B. GONCHAXOV CONTENTS 1 INTRODUCTION 1
2 THE MODULI SPACES A G § AND X Q § 12 3 SURFACES, GRAPHS, MAPPING CLASS
GROUPS AND GROUPOIDS 19 4 ELEMENTS OF POSITIVE ALGEBRAIC GEOMETRY 23 5
POSITIVE CONFIGURATIONS OF FLAGS 27 6 A POSITIVE STRUCTURE ON THE MODULI
SPACE X G § 38 7 A POSITIVE STRUCTURE ON THE MODULI SPACE A G § 51 8
SPECIAL COORDINATES ON THE A AND X SPACES WHEN G IS OF TYPE A M 60 9 THE
PAIR (X PGL §,A SL §) CORRESPONDS TO AN ORBI-CLUSTER ENSEMBLE 76 10 THE
CLASSICAL TEICHMULLER SPACES 84 11 LAMINATIONS AND CANONICAL PAIRINGS 86
12 POSITIVE COORDINATE SYSTEMS FOR ^-LAMINATIONS 100 13 A WEIL-PETERSSON
FORM ON A G § AND ITS MOTIVIC AVATAR 103 1 INTRODUCTION 1 AN
ALGEBRAIC-GEOMETRIC APPROACH TO HIGHER TEICHMULLER THEORY. LET S BE A
SURFACE WITH N HOLES. THE TEICHMULLER SPACE TS IS THE MODULI SPACE OF
COMPLEX STRUCTURES ON S MODULO DIFFEO- MORPHISMS ISOTOPIC TO THE
IDENTITY. WE WILL USUALLY ASSUME THAT S IS HYPERBOLIC, I.E. X( THEN THE
POINCARE UNIFORMISATION THEOREM IDENTIFIES IT WITH THE SPACE OF ALL
FAITHFUL REPRESENTATIONS TTI(S) - PSL,2(R) FITH DISCRETE IMAGE, MODULO
CONJUGATIONS BY PSL,2(M.)- TRADITIONALLY THE TE- ICHMULLER THEORY IS
CONSIDERED AS A PART OF ANALYSIS AND GEOMETRY. THE TEICHMULLER SPACE IS
BY NO MEANS A SET OF REAL POINTS OF AN ALGEBRAIC VARIETY. INDEED, DIS-
CRETENESS IS NOT A CONDITION OF AN ALGEBRAIC NATURE. IN THIS PAPER WE
SHOW THAT, NEVERTHELESS, THERE IS AN ALGEBRAIC-GEOMETRIC APPROACH TO THE
TEICHMULLER THEORY. MOREOVER WE SHOW THAT IT ADMITS A GENERALIZATION
WHERE PSL2 IS REPLACED BY A SPLIT SEMI-SIMPLE ALGEBRAIC GROUP G WITH
TRIVIAL CENTER. HERE ARE THE MAIN FEATURES OF OUR STORY. V .
|
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| indexdate | 2024-07-09T22:31:35Z |
| institution | BVB |
| language | English |
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| spelling | Fock, V. V. Verfasser aut Moduli spaces of local systems and higher Teichmüller theory V. V. Fock ; A. B. Goncharov Bonn Max-Planck-Inst. 2004 114 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier MPI 2004,76 Goncharov, A. B. Verfasser aut Max-Planck-Institut <Bonn> MPI 2004,76 (DE-604)BV035932118 2004,76 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019974547&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fock, V. V. Goncharov, A. B. Moduli spaces of local systems and higher Teichmüller theory |
| title | Moduli spaces of local systems and higher Teichmüller theory |
| title_auth | Moduli spaces of local systems and higher Teichmüller theory |
| title_exact_search | Moduli spaces of local systems and higher Teichmüller theory |
| title_full | Moduli spaces of local systems and higher Teichmüller theory V. V. Fock ; A. B. Goncharov |
| title_fullStr | Moduli spaces of local systems and higher Teichmüller theory V. V. Fock ; A. B. Goncharov |
| title_full_unstemmed | Moduli spaces of local systems and higher Teichmüller theory V. V. Fock ; A. B. Goncharov |
| title_short | Moduli spaces of local systems and higher Teichmüller theory |
| title_sort | moduli spaces of local systems and higher teichmuller theory |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019974547&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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