Home Page of
François Costantino
Publications . Research Projects . Conferences . Administration . Enseignement . Videos

Professor at
Institut de Mathématique de Toulouse (IMT)
Université Toulouse III Paul Sabatier
118 route de Narbonne - F-31062 TOULOUSE Cedex 9 (France)
Tel: 0033 05.61.55.86.46   Fax: 0033 05.61.55.75.99
e-mail: Francesco.Costantino(at)math.univ-toulouse.fr

Research Interests: Geometry and Topology of low-dimensional manifolds, Topological Quantum Field Theories (TQFTs) and their relations to geometry.

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Publications

Preprints . Papers . Memoirs

Preprints

  1. Non semi-simple TQFTs from unrolled quantum sl(2). (With Christian Blanchet, Nathan Geer and Bertrand Patureau)
    accepted at the Proceedings of the Gokova Geometry and Topology Conference 2015.

  2. Shear coordinates on super Teichmüller spaces of punctured surfaces. (with F. Bouschbacher and V. Fock) coming soon...

Papers

  1. Non semi-simple TQFTs, Reidemeister torsion and Kashaev's invariants. (With Christian Blanchet, Nathan Geer and Bertrand Patureau) Advances in Mathematics, vol 301 (2016), 1-78. Available on ArXiv: arXiv:1404.7289

  2. Duality between Spin networks and the 2D Ising model. (With Valentin Bonzom and Etera Livine)
    Communications in Mathematical Physics (2016), available on ArXiv:
    arXiv:1504.02822 (2015)

  3. Notes on Topological Quantum Field Theories. Notes of a course I gave at Winter Braids 2015. Published in Winter Braids Lecture Notes, 2 : Winter Braids V (Pau 2015) (2015), Exp. No.1.

  4. Generating series and asymptotics of classical spin networks. (With Julien Marché)
    Journal of The European Mathematical Society (JEMS), vol 17, Issue 10 (2015) . Available on ArXiv:
    arXiv:1103.5664

  5. Relations between Witten-Reshetikhin-Turaev and non semi-simple sl(2) 3-manifold invariants. (With Nathan Geer and Bertrand Patureau)
    Algebraic Geometry and Topology, 15 (2015) 1363-1386. Available on ArXiv:
    arXiv:1310.2725

  6. Some remarks on the unrolled quantum group of sl(2). (With Nathan Geer and Bertrand Patureau)
    Journal of Pure and Applied Algebra 219 (8), pp. 3238-3262 (2015). Available on ArXiv:
    arXiv:1406.0410

  7. On the volume conjecture for polyhedra. (With François Guéritaud and Roland van der Veen)
    Geometriae Dedicata, vol. 179, Issue 1 (2015), pp 385-409. Available on ArXiv:
    arXiv:1403.2347

  8. An analytic family of representations for the mapping class group of punctured surfaces. (With Bruno Martelli)
    Geometry & Topology 18 (2014), 1485-1538. Available on ArXiv:
    arXiv:1210.2666

  9. Quantum invariants of 3-manifolds via link surgery presentations and non-semi-simple categories. (With Nathan Geer and Bertrand Patureau)
    Journal of Topology (2014) . Also available on ArXiv:
    arXiv:1202.3553. The published version contains a mistake in the proof of Theorem 4.10. The appendix to the following version contains an erratum correcting this.

  10. Non semi-simple sl(2) quantum invariants, spin case. (With Christian Blanchet, Nathan Geer and Bertrand Patureau)
    Acta Mathematica Vietnamica, vol. 39, Issue 14 (2014) pp. 481-495. Available on ArXiv:
    arXiv:1405.3490

  11. Integrality of Kauffman brackets of trivalent graphs.
    Quantum Topology. Volume 5, Issue 2 (2014), 143-184. Also Available on ArXiv: arXiv:0908.0542

  12. On the SL(2, C) quantum 6j-symbols and their relation to the hyperbolic volume. (With Jun Murakami)
    Quantum Topology Vol. 4, Issue 3 (2013), pp. 303-351. Also Available on ArXiv:
    arXiv:1005.4277

  13. 6j-symbols, hyperbolic structures and the Volume Conjecture.
    Geometry Topology 11 (2007), 1831-1853 . Also Available on ArXiv:
    http://arxiv.org/abs/math/0611399

  14. 3-manifolds efficiently bound 4-manifolds. (With Dylan Thurston)
    Journal of Topology vol. 1, n. 3, (2008) . Also available on ArXiv:
    http://arxiv.org/abs/math/0506577

  15. Triangulations of 3-manifolds, hyperbolic relative handlebodies, and Dehn filling. (With Roberto Frigerio, Bruno Martelli and Carlo Petronio)
    Commentarii Mathematici Helvetici Volume 82, Issue 4, 2007, pp. 903-933. Also available on ArXiv:
    http://arxiv.org/abs/math/0402339

  16. Colored Jones invariants of links in S^3 # k S^2 X S^1 and the Volume Conjecture.
    J. Lond. Math. Soc. 76 (2007), no 1, 1-15 . Also Available on ArXiv:
    http://arxiv.org/abs/math/0510048

  17. Stein domains and branched shadows of 4-manifolds.
    Geometriae Dedicata (2006), vol 121, issue 1, 89-111 . Also Available on ArXiv:
    http://arxiv.org/abs/math/0504387

  18. Complexity of 4-manifolds.
    Experimental Mathematics 15, No 2 (2006), 237-249.

  19. Branched shadows and complex structures of 4-manifolds.
    Journal of Knot Theory and its Ramifications 17 (2008) no 11, 1429-1454 . Also available on ArXiv:
    http://arxiv.org/abs/math/0502292

  20. A calculus for branched spines of 3-manifolds.
    Mathematische Zeitschrift (2005), Volume 251, Issue 2, pp 427-442. Also available on ArXiv:
    http://arxiv.org/abs/math/0403014

  21. Euler structures and Reidemeister torsion of three manifolds. (With Riccardo Benedetti, Carlo Petronio and Gennaro Amendola)
    Rendiconti dell'Istituto Matematico dell'Università di Trieste, Supp. Vol. XXXII pp. 1-23 (2001)..

  22. On a proof of the JSJ Theorem.
    Rendiconti del Seminario Matematico dell'Università e del Politecnico di Torino,vol. 60 n. 3 (2002).

My "Memoire d'Habilitation à Diriger des Recherches" and my Ph.D. Thesis

Réseaux de spin et leur géométrie (.pdf file)
Mémoir of my "Habilitation à Diriger des Recherches" defended at IRMA the 17th of October 2011.
Jury: Norbert A'Campo (Président), Christian Blanchet, Michel Boileau, Vladimir Fock, Christian Kassel, Vladimir Turaev .

Shadows and branched shadows of 3 and 4-manifolds
PhD. Thesis defended at Scuola Normale Superiore di Pisa the 24th of Mai 2004.
Jury: Giuseppe Tomassini (Président), Riccardo Benedetti (advisor), Paolo Lisca, Wolfgang Metzler, Bernard Perron, Carlo Petronio, Mario Salvetti, Bruno Zimmermann.
The thesis was later published by the Edizioni della Scuola Normale Superiore di Pisa.



Research Projects


Conferences

Organized Conferences . Talks in Conferences . "Colloques" . Next Conferences

Organized Conferences

Talks in Conferences and Colloquia

"Colloques"


Administration


Enseignement

Cours enseignés

Notes de Cours

Encadrement d'étudiants


Videos


Last modified: november the 3rd 2015