Guts of Surfaces and the Colored Jones Polynomial (Record no. 6981)

MARC details
000 -LEADER
fixed length control field 03204nam a22005055i 4500
001 - CONTROL NUMBER
control field 978-3-642-33302-6
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20150803155058.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 121227s2013 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783642333026
-- 978-3-642-33302-6
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-642-33302-6
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA613-613.8
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA613.6-613.66
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBMS
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBPH
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT038000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 514.34
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Futer, David.
Relator term author.
245 10 - TITLE STATEMENT
Title Guts of Surfaces and the Colored Jones Polynomial
Medium [electronic resource] /
Statement of responsibility, etc by David Futer, Efstratia Kalfagianni, Jessica Purcell.
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg :
-- Imprint: Springer,
-- 2013.
300 ## - PHYSICAL DESCRIPTION
Extent X, 170 p. 62 illus., 45 illus. in color.
Other physical details online resource.
336 ## -
-- text
-- txt
-- rdacontent
337 ## -
-- computer
-- c
-- rdamedia
338 ## -
-- online resource
-- cr
-- rdacarrier
347 ## -
-- text file
-- PDF
-- rda
490 1# - SERIES STATEMENT
Series statement Lecture Notes in Mathematics,
International Standard Serial Number 0075-8434 ;
Volume number/sequential designation 2069
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 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.
520 ## - SUMMARY, ETC.
Summary, etc 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Cell aggregation
General subdivision Mathematics.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Manifolds and Cell Complexes (incl. Diff.Topology).
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Hyperbolic Geometry.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Kalfagianni, Efstratia.
Relator term author.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Purcell, Jessica.
Relator term author.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783642333019
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Lecture Notes in Mathematics,
-- 0075-8434 ;
Volume number/sequential designation 2069
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1007/978-3-642-33302-6">http://dx.doi.org/10.1007/978-3-642-33302-6</a>
912 ## -
-- ZDB-2-SMA
912 ## -
-- ZDB-2-LNM
Holdings
Withdrawn status Lost status Damaged status Not for loan Home library Current library Date acquired Total Checkouts Full call number Date last seen Price effective from Koha item type
        Central Library, IISER Bhopal Central Library, IISER Bhopal 03/08/2015   514.34 03/08/2015 03/08/2015 E-Books



Contact for Queries: skpathak@iiserb.ac.in