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- Publications
- Influence
Guts of Surfaces and the Colored Jones Polynomial
- D. Futer, Efstratia Kalfagianni, J. Purcell
- Mathematics, Computer Science
- Lecture notes in mathematics
- 16 August 2011
TLDR
THE HOMFLY POLYNOMIAL FOR LINKS IN RATIONAL HOMOLOGY 3-SPHERES
- Efstratia Kalfagianni, X. Lin
- Mathematics
- 8 September 1995
Abstract We use intrinsic 3-manifold topology to construct formal power series invariants for links in a large class of rational homology 3-spheres, which generalizes the 2-variable Jones polynomial… Expand
Turaev-Viro invariants, colored Jones polynomials and volume
- Renaud Detcherry, Efstratia Kalfagianni, T. Yang
- Mathematics, Physics
- 26 January 2017
We obtain a formula for the Turaev-Viro invariants of a link complement in terms of values of the colored Jones polynomial of the link. As an application we give the first examples for which the… Expand
Finite type invariants for knots in 3-manifolds
- Efstratia Kalfagianni
- Mathematics
- 1 May 1998
Abstract We use the Jaco-Shalen and Johannson theory of the characteristic submanifold and the Torus theorem (Gabai, Casson-Jungreis) to develop an intrinsic finite type theory for knots in… Expand
The Jones polynomial and graphs on surfaces
- Oliver T. Dasbach, D. Futer, Efstratia Kalfagianni, X. Lin, N. Stoltzfus
- Computer Science, Mathematics
- J. Comb. Theory, Ser. B
- 21 May 2006
TLDR
Cusp Areas of Farey Manifolds and Applications to Knot Theory
- D. Futer, Efstratia Kalfagianni, J. Purcell
- Mathematics
- 20 August 2008
This paper gives the first explicit, two-sided estimates on the cusp area of once-punctured-torus bundles, 4-punctured sphere bundles, and two-bridge link complements. The input for these estimates… Expand
Knot Cabling and the Degree of the Colored Jones Polynomial II
- Efstratia Kalfagianni, A. T. Tran
- Mathematics
- 7 January 2015
We continue our study of the degree of the colored Jones polynomial under knot cabling started in "Knot Cabling and the Degree of the Colored Jones Polynomial" (arXiv:1501.01574). Under certain… Expand
Quasifuchsian state surfaces
- D. Futer, Efstratia Kalfagianni, J. Purcell
- Mathematics
- 25 September 2012
This paper continues our study, initiated in [arXiv:1108.3370], of essential state surfaces in link complements that satisfy a mild diagrammatic hypothesis (homogeneously adequate). For hyperbolic… Expand
FINITE TYPE INVARIANTS FOR KNOTS
We use the Jaco-Shalen and Johannson theory of the characteristic submanifold and the Torus theorem (Gabai, Casson-Jungreis) to develop an intrinsic finite tvne theory for knots in irreducible… Expand
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On knot adjacency
- N. Askitas, Efstratia Kalfagianni
- Mathematics
- 30 November 2002
Abstract A knot K is called n -adjacent to the unknot if it admits a projection that contains n disjoint single crossings such that changing any 0 of these crossings, yields a projection of the… Expand
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