Webpage of Vincent Florens
Maitre de conférence HDR, Associate Professor
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
RECENT
Colloque de Géometrie, Créteil
Nantes-Orsay Seminar on Symplectic and Contact Geometry
Journées tresses 2023: Surfaces et variétés en dimension 4, Marseille Sept.2023
Algebraic and Topological interplay of algebraic varieties, Jaca June 2023
Séminaire de Géométrie et Topologie, Marseille June 2023
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.