Record Details

Super-A-polynomials for twist knots

DSpace at IIT Bombay

View Archive Info
 
 
Field Value
 
Title Super-A-polynomials for twist knots
 
Creator NAWATA, S
RAMADEVI, P
ZODINMAWIA
SUN, XY
 
Subject Chern-Simons Theories
Topological Field Theories
Topological Strings
CHERN-SIMONS THEORY
3-MANIFOLD INVARIANTS
TOPOLOGICAL STRINGS
FIELD-THEORY
LINKS
FORMULA
ALGEBRAS
HOMOLOGY
GRAVITY
VOLUME
 
Description We conjecture formulae of the colored superpolynomials for a class of twist knots K-p where p denotes the number of full twists. The validity of the formulae is checked by applying differentials and taking special limits. Using the formulae, we compute both the classical and quantum super-A-polynomials for the twist knots with small values of p. The results support the categorified versions of the generalized volume conjecture and the quantum volume conjecture. Furthermore, we obtain the evidence that the Q-deformed A-polynomials can be identified with the augmentation polynomials of knot contact homology in the case of the twist knots.
 
Publisher SPRINGER
 
Date 2014-10-15T14:11:28Z
2014-10-15T14:11:28Z
2012
 
Type Article
 
Identifier JOURNAL OF HIGH ENERGY PHYSICS, (11)
http://dx.doi.org/10.1007/JHEP11(2012)157
http://dspace.library.iitb.ac.in/jspui/handle/100/15070
 
Language en