An introduction to compactness results in symplectic field theory:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Heidelberg
Springer
2014
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | viii, 252 Seiten Diagramme 24 cm |
| ISBN: | 9783642315428 9783662522448 3642315429 |
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MARC
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Record in the Search Index
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CONTENTS
1 RIEMANN SURFACES 1
1.1 SMOOTH AND NODED RIEMANN SURFACES 1
1.2 RIEMANN SURFACES AND HYPERBOLIC GEOMETRY 13
1.2.1 STABLE SURFACES 13
1.2.2 THE HYPERBOLIC PLANE 16
1.2.3 GLUING HYPERBOLIC SURFACES ALONG THEIR BOUNDARIES. . . 26
1.2.4 ANNULI 28
1.2.5 HEXAGONS IN THE UPPER HALF PLANE AND PAIRS OF PANTS . 32
1.2.6 PAIRS OF PANTS DECOMPOSITIONS 39
1.2.7 THICK-THIN DECOMPOSITION AND COLLAR LEMMA 55
1.3 THE DELIGNE-MUMFORD COMPACTNESS RESULT 74
1.3.1 THE NOTION OF CONVERGENCE 80
1.3.2 THE PROOF OF THE COMPACTNESS RESULT FOR SURFACES
WITHOUT BOUNDARY 81
1.3.3 SURFACES WITH BOUNDARY 94
2 PSEUDOHOLOMORPHIC CURVES 101
2.1 BASIC DEFINITIONS 101
2.2 ASYMPTOTIC BEHAVIOR NEAR A PUNCTURE 117
2.2.1 INTRODUCTION 117
2.2.2 ESTIMATES FOR THE LINEAR CAUCHY RIEMANN OPERATOR . 121
2.2.3 REGULARITY: GRADIENT BOUNDS IMPLY C-BOUNDS 124
2.2.4 BEHAVIOR NEAR AN INTERIOR PUNCTURE 134
2.2.5 BEHAVIOR NEAR A BOUNDARY PUNCTURE 147
2.3 ISOPERIMETRIC INEQUALITY, MONOTONICITY LEMMA, REMOVAL
OF SINGULARITIES 171
2.4 FINITE-ENERGY STRIPS AND CYLINDERS OF SMALL AREA 196
3 THE SFT COMPACTNESS RESULTS 209
3.1 HOLOMORPHIC BUILDINGS FOR CURVES WITHOUT BOUNDARY 209
3.1.1 HOLOMORPHIC BUILDINGS OF HEIGHT 1 209
VII
HTTP://D-NB.INFO/1023015684
VLLL
CONTENTS
3.1.2 HOLOMORPHIC BUILDINGS OF HEIGHT N 211
3.2 ADDING ADDITIONAL MARKED POINTS 213
3.3 THE COMPACTNESS RESULT FOR THE CASE WITHOUT BOUNDARY 215
3.3.1 STATEMENT OF THE RESULT 215
3.3.2 GRADIENT BOUNDS 218
3.3.3 CONVERGENCE IN THE THICK PART 226
3.3.4 CONVERGENCE IN THE THIN PART AND LEVEL STRUCTURE . 227
3.4 MORE GENERAL HOLOMORPHIC BUILDINGS AND COMPACTNESS RESULTS 235
3.4.1 HOLOMORPHIC BUILDINGS OF HEIGHT 1 235
3.4.2 HOLOMORPHIC BUILDINGS OF HEIGHT TV 238
3.4.3 HOLOMORPHIC BUILDINGS IN MANIFOLDS WITH CYLINDRICAL
ENDS 240
3.4.4 A MORE GENERAL COMPACTNESS RESULT 243
REFERENCES 247
INDEX 251 |
| any_adam_object | 1 |
| author | Abbas, Casim |
| author_GND | (DE-588)1185542728 |
| author_facet | Abbas, Casim |
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| dewey-full | 516.36 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.36 |
| dewey-search | 516.36 |
| dewey-sort | 3516.36 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-08-03T01:20:38Z |
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| isbn | 9783642315428 9783662522448 3642315429 |
| language | English |
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| physical | viii, 252 Seiten Diagramme 24 cm |
| publishDate | 2014 |
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| spelling | Abbas, Casim (DE-588)1185542728 aut An introduction to compactness results in symplectic field theory Casim Abbas Berlin ; Heidelberg Springer 2014 viii, 252 Seiten Diagramme 24 cm txt rdacontent n rdamedia nc rdacarrier Symplektische Feldtheorie (DE-588)1047910624 gnd rswk-swf Symplektische Feldtheorie (DE-588)1047910624 s DE-604 Erscheint auch als Online-Ausgabe 978-3-642-31543-5 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4052298&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027184853&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Abbas, Casim An introduction to compactness results in symplectic field theory Symplektische Feldtheorie (DE-588)1047910624 gnd |
| subject_GND | (DE-588)1047910624 |
| title | An introduction to compactness results in symplectic field theory |
| title_auth | An introduction to compactness results in symplectic field theory |
| title_exact_search | An introduction to compactness results in symplectic field theory |
| title_full | An introduction to compactness results in symplectic field theory Casim Abbas |
| title_fullStr | An introduction to compactness results in symplectic field theory Casim Abbas |
| title_full_unstemmed | An introduction to compactness results in symplectic field theory Casim Abbas |
| title_short | An introduction to compactness results in symplectic field theory |
| title_sort | an introduction to compactness results in symplectic field theory |
| topic | Symplektische Feldtheorie (DE-588)1047910624 gnd |
| topic_facet | Symplektische Feldtheorie |
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