TY - CHAP
T1 - Applications
AU - Futer, David
AU - Kalfagianni, Efstratia
AU - Purcell, Jessica
PY - 2013/1/1
Y1 - 2013/1/1
N2 - In this chapter, we will use the calculations of S3\\SA obtained in earlier chapters to relate the geometry of A-adequate links to diagrammatic quantities and to Jones polynomials. In Sect. 9.1, we combine Theorem 5.14 with results of Agol et al. [6] to obtain bounds on the volumes of hyperbolic A-adequate links. A sample result is Theorem 9.7, which gives tight diagrammatic estimates on the volumes of positive braids with at least 3 crossings per twist region. The gap between the upper and lower bounds on volume is a factor of about 4.15.
AB - In this chapter, we will use the calculations of S3\\SA obtained in earlier chapters to relate the geometry of A-adequate links to diagrammatic quantities and to Jones polynomials. In Sect. 9.1, we combine Theorem 5.14 with results of Agol et al. [6] to obtain bounds on the volumes of hyperbolic A-adequate links. A sample result is Theorem 9.7, which gives tight diagrammatic estimates on the volumes of positive braids with at least 3 crossings per twist region. The gap between the upper and lower bounds on volume is a factor of about 4.15.
KW - Colored Jones Polynomial
KW - Early Chapter
KW - Incompressible Surface
KW - Jones Polynomial
KW - Ricci Flow
UR - http://www.scopus.com/inward/record.url?scp=85072845127&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-33302-6_9
DO - 10.1007/978-3-642-33302-6_9
M3 - Chapter (Book)
AN - SCOPUS:85072845127
SN - 9783642333019
T3 - Lecture Notes in Mathematics
SP - 139
EP - 154
BT - Guts of Surfaces and the Colored Jones Polynomial
PB - Springer-Verlag London Ltd.
ER -