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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

64 10- PDF

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

22 5- PDF

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

11 3- PDF

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

32 3

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

119 2- PDF

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

30 2- PDF

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

19 2- PDF

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

22 2- PDF

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

24 2- PDF

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

32 2- PDF

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