Webpage of Vincent Florens
                    Maitre de conférence HDR, Associate Professor

                          Laboratoire de Mathématiques et leurs applications

                 My research interests lie in low dimensional topology with a focus on knot theory,
                  4-dimensional manifolds and plane algebraic curves.

                Contact: vincent.florens(at)univ-pau.fr

               CURRENT EVENTS

        

                                           Séminaire GAAO, Clermont-Ferrand


                                                          WINTERBRAIDS

Publications

. Seifert forms and slice Euler caracteristic (avec S.Orevkov)

. A Slope invariant and the A-polynomial of knots (avec L.Benard, A. Rodau) arXiv:2103.14151v2


. HDR Intersection in low dimensional topology Pau 2016


. Slope and concordance of links (avec A.Degtyarev et A.Lecuona)
  A paraître dans Algebraic and Geometric Topology

. Slopes and signatures of links (avec A.Degtyarev, et A.Lecuona)
  Fundamenta Mathmaticae Math. 258 (2022), no. 1, 65--114 

. Slopes of links and signature formulas (avec A.Degtyarev et A.Lecuona)
  Topology, geometry, and dynamics—V. A. Rokhlin-Memorial, 93–105, Contemp. Math., 772, Amer. Math. Soc. (2021)

. Torsions and intersection forms of 4-manifolds from trisection diagrams (avec D.Moussard)
  Canadian Journal of Mathematics (2019) 

A functorial extension of the Magnus representation to the category of  three-dimensional cobordisms (avec G.Massuyeau, J. Serrano)
  Fundamenta Mathematicae 240 (2018) 221-263.

Alexander invarians of ribbon tangles and planar algebras (avec C.Damiani)
  Journal of the Mathematical Society of Japan (2017)

. The signature of a splice (avec A.Degtyarev, A.Lecuona)
  International Mathematics Research Notices IMRN, (2017), 2249--2283 

. A topological invariant of line arrangements  (avec E.Artal, B.Guerville)
  Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Vol. XVII, issue 3 (2017), pp. 949-968.

On complex line arrangements and their boundary manifolds (avec B.Guerville, M.Marco)
  Mathematical Proceedings of the Cambridge Philosophical Society (2015) 159, pp 189-205

.  A functorial extension of the abelian Reidemeister torsion of three-manifolds (avec G.Massuyeau)
  L'Enseignement Mathématiques 61:1/2 (2015) 161-210

. Alexander representation of tangles  (avec S.Bigelow, A.Cattabriga)
  Acta Vietnamica Mathematica (2015) Vol. 40 (2) pp 339-352

.  Braids in Pau- An Introduction (avec E.Artal)
  Annales Mathématiques B.Pascal 18, 1-14 (2011)

. Twisted Alexander polynomial of plane algebraic curves(avec J.I.Cogolludo)
  Journal of London Math. Society (2007) Vol. 76 Part 1, p105-121

. Generalized Seifert surfaces and signature of colored links (avec D.Cimasoni)
  Transaction of the American Mathematical Society 360, (2008) p1223-1264

.Signatures of colored links with an application to real algebraic curves
  Journal of Knot Theory and its Ramifications (2005) 14 , no. 7, p883-918

. On the Fox-Milnor theorem for the Alexander polynomial of links
   International Mathematics Research Notices IMRN (2004) 2, p55-67

. On the slice genus of links (avec P.Gilmer)
  Algebraic and Geometric Topology (2003) 3, p905-920. 

Career 

2008- Maitre de Conférences (Hors Classe), Université de Pau

2006-2008 Maitre-Assistant, Université de Genève

2005-2006 Assistant, Universitat Zurich

2004-2005 Postdoctoral Fellow Marie-Curie, Unversidad de Zaragoza 

2003-2004 Collaborateur FNRS, Université Libre de Bruxelles

2002-2003 ATER Université L.Pasteur, Strasbourg

2001-2002 ATER Université Bretagne Sud, Vannes

Dec 2001: PHD Thesis, Murasugi-Tristram Inequalitites for Generalized Signatures of links, Advisors: T.Fiedler and S.Orevkov

Students

Jorge Ortigas, Invariants of curves and surfaces with quotient singularities, Zaragoza 2013,

                     with J.I.Cogolludo and J.Vallès. 

                    

Benoit Guerville-Ballé , Topological invariant of line arrangements, Pau 2013,

                     with E.Artal. 


Juan Viu-Sos, Periods and arrangements, Pau 2015

                     with J.Cresson and E.Artal 


Juan Serrano de Rodrigo, Extension fonctorielle de la représentation de Magnus

                    with E.Artal et G.Massuyeau.

                    Interrupted for a career in education.


Adrien Rodau, Homological invariants of links and line arrangements

                       with E.Artal 


Manos Manouros, with J.I.Cogolludo.