Guts of surfaces and the colored Jones polynomial:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2013
|
| Schriftenreihe: | Lecture Notes in Mathematics
2069 |
| Schlagworte: | |
| Online-Zugang: | Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (X, 170 S.) Ill. |
| ISBN: | 364233301X 9783642333026 |
| DOI: | 10.1007/978-3-642-33302-6 |
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Datensatz im Suchindex
| _version_ | 1804149988250353665 |
|---|---|
| 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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| doi_str_mv | 10.1007/978-3-642-33302-6 |
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| institution | BVB |
| isbn | 364233301X 9783642333026 |
| language | English |
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| series2 | Lecture Notes in Mathematics |
| 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 |
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