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
RECENT
Topology and Geometry of low dimensional manifolds (Nara's women University)
Séminaire GAAO, Clermont-Ferrand
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
. 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
— 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, Pau 2023
with E.Artal
— Manos Manouros, with J.I.Cogolludo.