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Guts of surfaces and the colored Jones polynomial:

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Bibliographic Details
Main Authors:	Futer, David (Author), Kalfagianni, Efstratia (Author), Purcell, Jessica (Author)
Format:	Electronic eBook
Language:	English
Published:	Berlin [u.a.] Springer 2013
Series:	Lecture Notes in Mathematics 2069
Subjects:	Niederdimensionale Topologie Knoten > Mathematik
Online Access:	Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource (X, 170 S.) Ill.
ISBN:	364233301X 9783642333026
DOI:	10.1007/978-3-642-33302-6

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MARC


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adam_text	GUTS OF SURFACES AND THE COLORED JONES POLYNOMIAL / FUTER, DAVID : 2013 TABLE OF CONTENTS / INHALTSVERZEICHNIS 1 INTRODUCTION 2 DECOMPOSITION INTO 3–BALLS 3 IDEAL POLYHEDRA 4 I–BUNDLES AND ESSENTIAL PRODUCT DISKS 5 GUTS AND FIBERS 6 RECOGNIZING ESSENTIAL PRODUCT DISKS 7 DIAGRAMS WITHOUT NON-PRIME ARCS 8 MONTESINOS LINKS 9 APPLICATIONS 10 DISCUSSION AND QUESTIONS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. GUTS OF SURFACES AND THE COLORED JONES POLYNOMIAL / FUTER, DAVID : 2013 ABSTRACT / INHALTSTEXT THIS MONOGRAPH DERIVES DIRECT AND CONCRETE RELATIONS BETWEEN COLORED JONES POLYNOMIALS AND THE TOPOLOGY OF INCOMPRESSIBLE SPANNING SURFACES IN KNOT AND LINK COMPLEMENTS. UNDER MILD DIAGRAMMATIC HYPOTHESES, WE PROVE THAT THE GROWTH OF THE DEGREE OF THE COLORED JONES POLYNOMIALS IS A BOUNDARY SLOPE OF AN ESSENTIAL SURFACE IN THE KNOT COMPLEMENT. WE SHOW THAT CERTAIN COEFFICIENTS OF THE POLYNOMIAL MEASURE HOW FAR THIS SURFACE IS FROM BEING A FIBER FOR THE KNOT; IN PARTICULAR, THE SURFACE IS A FIBER IF AND ONLY IF A PARTICULAR COEFFICIENT VANISHES. WE ALSO RELATE HYPERBOLIC VOLUME TO COLORED JONES POLYNOMIALS. OUR METHOD IS TO GENERALIZE THE CHECKERBOARD DECOMPOSITIONS OF ALTERNATING KNOTS. UNDER MILD DIAGRAMMATIC HYPOTHESES, WE SHOW THAT THESE SURFACES ARE ESSENTIAL, AND OBTAIN AN IDEAL POLYHEDRAL DECOMPOSITION OF THEIR COMPLEMENT. WE USE NORMAL SURFACE THEORY TO RELATE THE PIECES OF THE JSJ DECOMPOSITION OF THE COMPLEMENT TO THE COMBINATORICS OF CERTAIN SURFACE SPINES (STATE GRAPHS). SINCE STATE GRAPHS HAVE PREVIOUSLY APPEARED IN THE STUDY OF JONES POLYNOMIALS, OUR METHOD BRIDGES THE GAP BETWEEN QUANTUM AND GEOMETRIC KNOT INVARIANTS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author	Futer, David Kalfagianni, Efstratia Purcell, Jessica
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spelling	Futer, David Verfasser (DE-588)102984190X aut Guts of surfaces and the colored Jones polynomial David Futer ; Efstratia Kalfagianni ; Jessica Purcell Berlin [u.a.] Springer 2013 1 Online-Ressource (X, 170 S.) Ill. txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Mathematics 2069 Niederdimensionale Topologie (DE-588)4280826-1 gnd rswk-swf Knoten Mathematik (DE-588)4164314-8 gnd rswk-swf Knoten Mathematik (DE-588)4164314-8 s Niederdimensionale Topologie (DE-588)4280826-1 s DE-604 Kalfagianni, Efstratia Verfasser aut Purcell, Jessica Verfasser aut Erscheint auch als Druck-Ausgabe, Paperback 978-3-642-33301-9 Lecture Notes in Mathematics 2069 (DE-604)BV014303148 2069 https://doi.org/10.1007/978-3-642-33302-6 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025671315&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025671315&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract
spellingShingle	Futer, David Kalfagianni, Efstratia Purcell, Jessica Guts of surfaces and the colored Jones polynomial Lecture Notes in Mathematics Niederdimensionale Topologie (DE-588)4280826-1 gnd Knoten Mathematik (DE-588)4164314-8 gnd
subject_GND	(DE-588)4280826-1 (DE-588)4164314-8
title	Guts of surfaces and the colored Jones polynomial
title_auth	Guts of surfaces and the colored Jones polynomial
title_exact_search	Guts of surfaces and the colored Jones polynomial
title_full	Guts of surfaces and the colored Jones polynomial David Futer ; Efstratia Kalfagianni ; Jessica Purcell
title_fullStr	Guts of surfaces and the colored Jones polynomial David Futer ; Efstratia Kalfagianni ; Jessica Purcell
title_full_unstemmed	Guts of surfaces and the colored Jones polynomial David Futer ; Efstratia Kalfagianni ; Jessica Purcell
title_short	Guts of surfaces and the colored Jones polynomial
title_sort	guts of surfaces and the colored jones polynomial
topic	Niederdimensionale Topologie (DE-588)4280826-1 gnd Knoten Mathematik (DE-588)4164314-8 gnd
topic_facet	Niederdimensionale Topologie Knoten Mathematik
url	https://doi.org/10.1007/978-3-642-33302-6 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025671315&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025671315&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV014303148
work_keys_str_mv	AT futerdavid gutsofsurfacesandthecoloredjonespolynomial AT kalfagianniefstratia gutsofsurfacesandthecoloredjonespolynomial AT purcelljessica gutsofsurfacesandthecoloredjonespolynomial

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