Holdings: Four-manifolds, geometries and knots

Four-manifolds, geometries and knots:

Saved in:

Bibliographic Details
Format:	Book
Language:	English
Published:	Geometry & Topology Publ. Coventry, UK 2002
Series:	Geometry & topology monographs / Mathematics Institute, University of Warwick 5
Subjects:	Mannigfaltigkeit Dimension 4
Online Access:	Inhaltsverzeichnis
Physical Description:	XIII, 379 S.

Staff View

MARC


LEADER	00000nam a2200000 cb4500
001	BV019727425
003	DE-604
005	20050309
007	t
008	050308s2002 \|\|\|\| 00\|\|\| eng d
035			\|a (OCoLC)633031345
035			\|a (DE-599)BVBBV019727425
040			\|a DE-604 \|b ger \|e rakwb
041	0		\|a eng
049			\|a DE-703
084			\|a SK 350 \|0 (DE-625)143233: \|2 rvk
245	1	0	\|a Four-manifolds, geometries and knots \|c J. A. Hillman
246	1	3	\|a Four manifolds, geometries and knots
264		1	\|a Geometry & Topology Publ. \|b Coventry, UK \|c 2002
300			\|a XIII, 379 S.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	1		\|a Geometry & topology monographs / Mathematics Institute, University of Warwick \|v 5
650	0	7	\|a Mannigfaltigkeit \|0 (DE-588)4037379-4 \|2 gnd \|9 rswk-swf
650	0	7	\|a Dimension 4 \|0 (DE-588)4338676-3 \|2 gnd \|9 rswk-swf
689	0	0	\|a Mannigfaltigkeit \|0 (DE-588)4037379-4 \|D s
689	0	1	\|a Dimension 4 \|0 (DE-588)4338676-3 \|D s
689	0		\|5 DE-604
700	1		\|a Hillman, Jonathan \|d 1947- \|e Sonstige \|0 (DE-588)1031495649 \|4 oth
810	2		\|a Mathematics Institute, University of Warwick \|t Geometry & topology monographs \|v 5 \|w (DE-604)BV019727192 \|9 5
856	4	2	\|m GBV Datenaustausch \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013054413&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
999			\|a oai:aleph.bib-bvb.de:BVB01-013054413

Record in the Search Index

_version_	1804133187841949696
adam_text	QEOMETRY & TOPOLOGY MONOGRAPHS VOLUME 5 (2002) FOUR-MANIFOLDS, GEOMETRIES AND KNOTS J.A.HLLLMAN THE UNIVERSITY OF SYDNEY JONH@MATHS.USYD.EDU.AU SUB GOTTINGEN 7 217 404 820 1 CONTENTS III CONTENTS CONTENTS (III) PREFACE (IX) ACKNOWLEDGEMENT PART I : MANIFOLDS AND PZ)-COMPLEXES 1 CHAPTER 1: GROUP THEORETIC PRELIMINARIES 3 1.1 GROUP THEORETIC NOTATION AND TERMINOLOGY 3 1.2 MATRIX GROUPS 5 1.3 THE HIRSCH-PLOTKIN RADICAL 6 1.4 AMENABLE GROUPS 8 1.5 HIRSCH LENGTH 10 1.6 MODULES AND FINITENESS CONDITIONS 13 1.7 ENDS AND COHOMOLOGY WITH FREE COEFFICIENTS 16 1.8 POINCARE DUALITY GROUPS 20 1.9 HILBERT MODULES 22 CHAPTER 2: 2-COMPLEXES AND PD3 -COMPLEXES 25 2.1 NOTATION 25 2.2 L 2 -BETTI NUMBERS 26 2.3 2-COMPLEXES AND FINITELY PRESENTABLE GROUPS 28 2.4 POINCARE DUALITY 32 2.5 PD 3 -COMPLEXES 33 2.6 THE SPHERICAL CASES 35 2.7 P.D3-GROUPS 37 2.8 SUBGROUPS OF PD3 -GROUPS AND 3-MANIFOLD GROUPS 42 2.9 TT 2 (P) AS A Z[7R]-MODULE 44 CHAPTER 3: HOMOTOPY INVARIANTS OF PD4 -COMPLEXES 47 3.1 HOMOTOPY EQUIVALENCE AND ASPHERICITY 47 3.2 FINITELY DOMINATED COVERING SPACES 53 3.3 MINIMIZING THE EULER CHARACTERISTIC 57 3.4 EULER CHARACTERISTIC 0 63 QEOMETRY & TOPOLOGY MONOGRAPHS, VOLUME 5 (2002) IV CONTENTS CHAPTER 4: MAPPING TORI AND CIRCLE BUNDLES 69 4.1 SOME NECESSARY CONDITIONS 69 4.2 CHANGE OF RINGS AND CUP PRODUCTS 71 4.3 THE CASE V = L 74 4.4 DUALITY IN INFINITE CYCLIC COVERS 75 4.5 HOMOTOPY MAPPING TORI 76 4.6 PRODUCTS 82 4.7 SUBNORMAL SUBGROUPS 83 4.8 CIRCLE BUNDLES 84 CHAPTER 5: SURFACE BUNDLES 89 5.1 SOME GENERAL RESULTS 89 5.2 BUNDLES WITH BASE AND FIBRE ASPHERICAL SURFACES 91 5.3 BUNDLES WITH ASPHERICAL BASE AND FIBRE S 2 OR RP 2 96 5.4 BUNDLES OVER S 2 102 5.5 BUNDLES OVER RP 2 105 5.6 BUNDLES OVER RP 2 WITH D = 0 107 CHAPTER 6: SIMPLE HOMOTOPY TYPE AND SURGERY ILL 6.1 THE WHITEHEAD GROUP 112 6.2 THE S-COBORDISM STRUCTURE SET 116 6.3 STABILIZATION AND /I-COBORDISM 121 6.4 MANIFOLDS WITH TTI ELEMENTARY AMENABLE AND % = 0 122 6.5 BUNDLES OVER ASPHERICAL SURFACES 125 PART II : 4-DIMENSIONAL GEOMETRIES 129 CHAPTER 7: GEOMETRIES AND DECOMPOSITIONS 131 7.1 GEOMETRIES 132 7.2 INFRANILMANIFOLDS 133 7.3 INFRASOLVMANIFOLDS 135 7.4 GEOMETRIC DECOMPOSITIONS 138 7.5 ORBIFOLD BUNDLES 141 7.6 REALIZATION OF VIRTUAL BUNDLE GROUPS 142 7.7 SEIFERT FIBRATIONS : 144 QEOMETRY & TOPOLOGY MONOGRAPHS, VOLUME 5 (2002) CONTENTS V 7.8 COMPLEX SURFACES AND RELATED STRUCTURES 146 CHAPTER 8: SOLVABLE LIE GEOMETRIES 151 8.1 THE CHARACTERIZATION 151 8.2 FLAT 3-MANIFOLD GROUPS AND THEIR AUTOMORPHISMS 153 8.3 FLAT 4-MANIFOLD GROUPS WITH INFINITE ABELIANIZATION 157 8.4 FLAT 4-MANIFOLD GROUPS WITH FINITE ABELIANIZATION 161 8.5 DISTINGUISHING BETWEEN THE GEOMETRIES 164 8.6 MAPPING TORI OF SELF HOMEOMORPHISMS OF E 3 -MANIFOLDS 165 8.7 MAPPING TORI OF SELF HOMEOMORPHISMS OF NIL 3 -MANIFOLDS 167 8.8 MAPPING TORI OF SELF HOMEOMORPHISMS OF §O 3 -MANIFOLDS 171 8.9 REALIZATION AND CLASSIFICATION 173 8.10 DIFFEOMORPHISM 175 CHAPTER 9: THE OTHER ASPHERICAL GEOMETRIES 179 9.1 ASPHERICAL SEIFERT FIBRED 4-MANIFOLDS 179 9.2 THE SEIFERT GEOMETRIES: TF XE 2 AND SLXE 1 182 9.3 H 3 X E 1 -MANIFOLDS 185 9.4 MAPPING TORI 186 9.5 THE SEMISIMPLE GEOMETRIES: BPXTF.TF AND H 2 (C) 187 9.6 MISCELLANY 193 CHAPTER 10: MANIFOLDS COVERED BY S 2 X R 2 195 10.1 FUNDAMENTAL GROUPS 195 10.2 HOMOTOPY TYPE 196 10.3 BUNDLE SPACES ARE GEOMETRIC 201 10.4 FUNDAMENTAL GROUPS OF S 2 X E 2 -MANIFOLDS 206 10.5 HOMOTOPY TYPES OF S 2 X E 2 -MANIFOLDS 208 10.6 SOME REMARKS ON THE HOMEOMORPHISM TYPES 214 CHAPTER 11: MANIFOLDS COVERED BY S 3 X R 217 11.1 INVARIANTS FOR THE HOMOTOPY TYPE 217 11.2 THE ACTION OF -K/F ON F 220 11.3 EXTENSIONS OF D 223 11.4 S 3 X E 1 -MANIFOLDS 224 QEOMETRY & TOPOLOGY MONOGRAPHS, VOLUME 5 (2002) VI CONTENTS 11.5 REALIZATION OF THE GROUPS 226 11.6 T- AND JT6-BUNDLES OVER RP 2 WITH 9 ^ 0 228 11.7 SOME REMARKS ON THE HOMEOMORPHISM TYPES 231 CHAPTER 12: GEOMETRIES WITH COMPACT MODELS 233 12.1 THE GEOMETRIES S 4 AND OP 2 234 12.2 THE GEOMETRY S 2 X S 2 235 12.3 BUNDLE SPACES 236 12.4 COHOMOLOGY AND STIEFEL-WHITNEY CLASSES 238 12.5 THE ACTION OF T T ON TT 2 (M) 239 12.6 HOMOTOPY TYPE 241 12.7. SURGERY 244 CHAPTER 13: GEOMETRIC DECOMPOSITIONS OF BUNDLE SPACES 247 13.1 MAPPING TORI 247 13.2 SURFACE BUNDLES AND GEOMETRIES 252 13.3 GEOMETRIC DECOMPOSITIONS OF TORUS BUNDLES 256 13.4 COMPLEX SURFACES AND FIBRATIONS 257 13.5 S 1 -ACTIONS AND FOLIATIONS BY CIRCLES 261 13.6 SYMPLECTIC STRUCTURES 263 PART III : 2-KNOTS 265 CHAPTER 14: KNOTS AND LINKS 267 14.1 KNOTS 267 14.2 COVERING SPACES 269 14.3 SUMS, FACTORIZATION AND SATELLITES 270 14.4 SPINNING AND TWIST SPINNING 271 14.5 RIBBON AND SLICE KNOTS 272 14.6 THE KERVAIRE CONDITIONS 273 14.7 WEIGHT ELEMENTS, CLASSES AND ORBITS 275 14.8 THE COMMUTATOR SUBGROUP 276 14.9 DEFICIENCY AND GEOMETRIC DIMENSION 279 14.10 ASPHERICITY 281 14.11 LINKS 282 14.12 LINK GROUPS 286 QEOMETRY & TOPOLOGY MONOGRAPHS, VOLUME 5 (2002) CONTENTS VII 14.13 HOMOLOGY SPHERES 288 CHAPTER 15: RESTRAINED NORMAL SUBGROUPS 291 15.1 THE GROUP $ 291 15.2 ALMOST COHERENT, RESTRAINED AND LOCALLY VIRTUALLY INDICABLE 293 15.3 ABELIAN NORMAL SUBGROUPS 296 15.4 FINITE COMMUTATOR SUBGROUP 299 15.5 THE TITS ALTERNATIVE 302 15.6 ABELIAN HNN BASES 302 15.7 LOCALLY FINITE NORMAL SUBGROUPS 304 CHAPTER 16: ABELIAN NORMAL SUBGROUPS OF RANK 2 307 16.1 THE BRIESKORN MANIFOLDS M(P, Q,R) 307 16.2 RANK 2 SUBGROUPS 308 16.3 TWIST SPINS OF TORUS KNOTS 310 16.4 SOLVABLE PZ 4 -GROUPS 314 CHAPTER 17: KNOT MANIFOLDS AND GEOMETRIES 323 17.1 HOMOTOPY CLASSIFICATION OF M(K) 323 17.2 SURGERY 324 17.3 THE ASPHERICAL CASES 325 17.4 QUASIFIBRES AND MINIMAL SEIFERT HYPERSURFACES 327 17.5 THE SPHERICAL CASES 328 17.6 FINITE GEOMETRIC DIMENSION 2 329 17.7 GEOMETRIC 2-KNOT MANIFOLDS 332 17.8 COMPLEX SURFACES AND 2-KNOT MANIFOLDS 334 CHAPTER 18: REFLEXIVITY 337 18.1 REFLEXIVITY FOR FIBRED 2-KNOTS 337 18.2 CAPPELL-SHANESON KNOTS 340 18.3 NIL 3 -FIBRED KNOTS 343 18.4 OTHER GEOMETRICALLY FIBRED KNOTS 347 BIBLIOGRAPHY 353 INDEX 375 QEOMETRY & TOPOLOGY MONOGRAPHS, VOLUME 5 (2002)
any_adam_object	1
author_GND	(DE-588)1031495649
building	Verbundindex
bvnumber	BV019727425
classification_rvk	SK 350
ctrlnum	(OCoLC)633031345 (DE-599)BVBBV019727425
discipline	Mathematik
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01511nam a2200361 cb4500</leader><controlfield tag="001">BV019727425</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20050309 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">050308s2002 \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)633031345</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV019727425</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 350</subfield><subfield code="0">(DE-625)143233:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Four-manifolds, geometries and knots</subfield><subfield code="c">J. A. Hillman</subfield></datafield><datafield tag="246" ind1="1" ind2="3"><subfield code="a">Four manifolds, geometries and knots</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Geometry & Topology Publ.</subfield><subfield code="b">Coventry, UK</subfield><subfield code="c">2002</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIII, 379 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Geometry & topology monographs / Mathematics Institute, University of Warwick</subfield><subfield code="v">5</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mannigfaltigkeit</subfield><subfield code="0">(DE-588)4037379-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Dimension 4</subfield><subfield code="0">(DE-588)4338676-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Mannigfaltigkeit</subfield><subfield code="0">(DE-588)4037379-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Dimension 4</subfield><subfield code="0">(DE-588)4338676-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hillman, Jonathan</subfield><subfield code="d">1947-</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)1031495649</subfield><subfield code="4">oth</subfield></datafield><datafield tag="810" ind1="2" ind2=" "><subfield code="a">Mathematics Institute, University of Warwick</subfield><subfield code="t">Geometry & topology monographs</subfield><subfield code="v">5</subfield><subfield code="w">(DE-604)BV019727192</subfield><subfield code="9">5</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013054413&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-013054413</subfield></datafield></record></collection>
id	DE-604.BV019727425
illustrated	Not Illustrated
indexdate	2024-07-09T20:04:44Z
institution	BVB
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-013054413
oclc_num	633031345
open_access_boolean
owner	DE-703
owner_facet	DE-703
physical	XIII, 379 S.
publishDate	2002
publishDateSearch	2002
publishDateSort	2002
publisher	Coventry, UK
record_format	marc
series2	Geometry & topology monographs / Mathematics Institute, University of Warwick
spelling	Four-manifolds, geometries and knots J. A. Hillman Four manifolds, geometries and knots Geometry & Topology Publ. Coventry, UK 2002 XIII, 379 S. txt rdacontent n rdamedia nc rdacarrier Geometry & topology monographs / Mathematics Institute, University of Warwick 5 Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Dimension 4 (DE-588)4338676-3 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 s Dimension 4 (DE-588)4338676-3 s DE-604 Hillman, Jonathan 1947- Sonstige (DE-588)1031495649 oth Mathematics Institute, University of Warwick Geometry & topology monographs 5 (DE-604)BV019727192 5 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013054413&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Four-manifolds, geometries and knots Mannigfaltigkeit (DE-588)4037379-4 gnd Dimension 4 (DE-588)4338676-3 gnd
subject_GND	(DE-588)4037379-4 (DE-588)4338676-3
title	Four-manifolds, geometries and knots
title_alt	Four manifolds, geometries and knots
title_auth	Four-manifolds, geometries and knots
title_exact_search	Four-manifolds, geometries and knots
title_full	Four-manifolds, geometries and knots J. A. Hillman
title_fullStr	Four-manifolds, geometries and knots J. A. Hillman
title_full_unstemmed	Four-manifolds, geometries and knots J. A. Hillman
title_short	Four-manifolds, geometries and knots
title_sort	four manifolds geometries and knots
topic	Mannigfaltigkeit (DE-588)4037379-4 gnd Dimension 4 (DE-588)4338676-3 gnd
topic_facet	Mannigfaltigkeit Dimension 4
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013054413&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV019727192
work_keys_str_mv	AT hillmanjonathan fourmanifoldsgeometriesandknots

Holdings

There is no print copy available.

Interlibrary loan Place Request Caution: Not in THWS collection! Indexes

MARC

Record in the Search Index

There is no print copy available.

Similar Items