Nafaa Chbili's Home Page
Dr. Nafaa Chbili Professor Department of Mathematical Sciences United Arab Emirates University Al Ain Abu Dhabi UAE						Education: PhD, University of Paris 7, France, 1997. HDR, Monastir University, Tunisia, 2008. MSc, University of Paris 7, France, 1994. BSc, Monastir University, Tunisia, 1992.

Previous Appointments:

Teaching Spring 2023:

Selected Publications:

• Colored HOMFLY-PT polynomials of quasi-alternating 3-braid knots Nuclear Physics B, Volume 980, 2022, 115800 (2022) (with V. Singh) .
• A Note on the Jones Polynomial of 3-braid links, Siberian Mathematical Journal 63, 983-994, (2022).
• On the Khovanov Homology of quasi-alternating links, Mediterranean Journal of Mathematics, 19, 104, (2022) (with K. Qazaqzeh)
• On Fox's Trapezoidal Conjecture for closed 3-braids, International Journal of Mathematics, Vol. 31, N. 14, (2021) (with M. Alrefai)
• Extending Quasi-alternating links, Journal of Knot theory and Ramifications, Vol. 29, No. 11, 2050072 (2020) (with K. Kaur)
• Extended periodic links and the HOMFLYPT polynomial, Journal of Knot Theory and Ramifications, (2019), 1940006 (with H. Jebali).
• On the Jones Polynomial of Quasi-alternating Links. Topology and Its Applications, 264, (2019), pp. 1-11 (with K. Qazaqzeh).
• Graph Polynomials and Symmetries, Journal of Algebra and Its Applications, (2019), 1950172
• Ribbon graphs and the Temperley-Lieb algebra, AMS Contemporary Mathematics, 670 (2016) pp 299-312, American Mathematical Scociety.
• A new obstruction of quasi-alternating links, Algebraic & Geometric Topology 15 (2015), no. 3, 1847-1862 (with K. Qazaqzeh).
• Characterization of quasi-alternating Montesinos links, J. Knot Theory Ramifications, 24 (2015), no. 1, 1550002, 13 pp (with K. Qazaqzeh and B. Qublan).
• Graph skein modules and symmetries of spatial graphs,  J. Knot Theory Ramifications Vol. 21 No. 9 1250090 (2012).

• Equivariant Khovanov homology associated with symmetric links, Kobe Journal of Mathematics, 27(2010) pp. 73-89.arxiv.org/abs/math.QA/0702359

• Strong periodicity of links and the coefficients of the Conway polynomial, Proc. Amer. Math. Soc. 136 (2008), 2217-2224.

• Toward an equivariant Khovanov homology, Proceedings of ILDT 2006, World Scientific Publishing Co, pp.19-27, 2007.

• The Casson-Walker-Lescop invariant of periodic three-manifolds, Mathematical Proceeding Cambridge Philosophical Society , Vol. 140. (2006) pp. 253-264.
• Skein algebras of the solid torus and symmetric spatial graphs, Fundamenta Mathematicae Vol 190, (2006) pp. 1-10.
• Les invariants $\theta_{p}$ des 3-varietes periodiques, Ann. Inst. Fourier, 4 (2001), 1135-1150.

• Symm'etries en dimension 3, une approche quantique, Cubo Math. Eud. Vol 6, No 4, (2004) pp. 133-165.

• A new criterion for knots with free periods, Ann. Fac. Sci. Toulouse Math. (6) 12 (2003), no. 4, pp. 465-477.

• Quantum invariants and finite group actions on 3-manifolds, Topology and its Applications, vol 136/1-3 pp. 219-231 2004.
• The multivariable Alexander polynomial of lens braids, Journal of knot theory and its Ramifications, Vol 11, 8, pp.1323-1330,2002.
• Quantum Su(3)-invariants of links and Murasugi's congruence, Topology and its Applications, Volume 122/3, pp. 479-485, 2002.
• The skein polynomial of freely periodic knots, Topology and its Applications, Volume 121/3 pp. 535-542, 2002.
  
• The Jones polynomials of freely periodic knots, Journal of Knot Theory and its Ramifications, Vol 9, No 7, pp. 885-891, 2000.
  
• Le polynome de Homfly des noeuds librement periodiques, C. R. Acad. Sci. Paris, t. 325,b Serie I, pp. 411-414, 1997.
  
• On the invariants of lens knots, proceeding of knots 96,c-1997 World scientific publishing Co, pp. 365-375.

Some Links

Second Tapu-Kook joint seminar on knots and related Topics, Daegu, Korea, July 26-30 2010