Download this article
 Download this article For screen
For printing
Recent Issues

Volume 25, 1 issue

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
On positive braids, monodromy groups and framings

Livio Ferretti

Algebraic & Geometric Topology 25 (2025) 161–205
Bibliography
1 N A’Campo, Sur la monodromie des singularités isolées d’hypersurfaces complexes, Invent. Math. 20 (1973) 147 MR338436
2 N A’Campo, Le groupe de monodromie du déploiement des singularités isolées de courbes planes, I, Math. Ann. 213 (1975) 1 MR377108
3 N A’Campo, Generic immersions of curves, knots, monodromy and Gordian number, Inst. Hautes Études Sci. Publ. Math. 88 (1998) 151 MR1733329
4 N A’Campo, Real deformations and complex topology of plane curve singularities, Ann. Fac. Sci. Toulouse Math. 8 (1999) 5 MR1721511
5 S Baader, L Lewark, L Liechti, Checkerboard graph monodromies, Enseign. Math. 64 (2018) 65 MR3959848
6 S Baader, M Lönne, Secondary braid groups, preprint (2020) arXiv:2001.09098
7 E Brieskorn, H Knörrer, Plane algebraic curves, Birkhäuser (1986) MR886476
8 A Calderon, N Salter, Framed mapping class groups and the monodromy of strata of abelian differentials, J. Eur. Math. Soc. 25 (2023) 4719 MR4662301
9 O Couture, B Perron, Representative braids for links associated to plane immersed curves, J. Knot Theory Ramifications 9 (2000) 1 MR1749500
10 P R Cromwell, Positive braids are visually prime, Proc. Lond. Math. Soc. 67 (1993) 384 MR1226607
11 B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
12 L R Fernández Vilanova, Positive Hopf plumbed links with maximal signature, PhD thesis, Universität Bern (2021)
13 H Goda, M Hirasawa, Y Yamada, Lissajous curves as A’Campo divides, torus knots and their fiber surfaces, Tokyo J. Math. 25 (2002) 485 MR1948678
14 S M Gusein-Zade, Dynkin diagrams for singularities of functions of two variables, Funkcional. Anal. i Priložen. 8 (1974) 23 MR430302
15 S M Gusein-Zade, Intersection matrices for certain singularities of functions of two variables, Funkcional. Anal. i Priložen. 8 (1974) 11 MR338437
16 M Hirasawa, Visualization of A’Campo’s fibered links and unknotting operation, Topology Appl. 121 (2002) 287 MR1903697
17 M Ishikawa, Plumbing constructions of connected divides and the Milnor fibers of plane curve singularities, Indag. Math. 13 (2002) 499 MR2015834
18 D Johnson, Spin structures and quadratic forms on surfaces, J. Lond. Math. Soc. 22 (1980) 365 MR588283
19 C Labruère, Generalized braid groups and mapping class groups, J. Knot Theory Ramifications 6 (1997) 715 MR1468903
20 L Liechti, On the genus defect of positive braid knots, Algebr. Geom. Topol. 20 (2020) 403 MR4071377
21 M Lönne, Fundamental group of discriminant complements of Brieskorn–Pham polynomials, C. R. Math. Acad. Sci. Paris 345 (2007) 93 MR2343559
22 J Milnor, Singular points of complex hypersurfaces, 61, Princeton Univ. Press (1968) MR239612
23 B Perron, J P Vannier, Groupe de monodromie géométrique des singularités simples, Math. Ann. 306 (1996) 231 MR1411346
24 P Portilla Cuadrado, N Salter, Vanishing cycles, plane curve singularities and framed mapping class groups, Geom. Topol. 25 (2021) 3179 MR4347314
25 O Randal-Williams, Homology of the moduli spaces and mapping class groups of framed, r–Spin and Pin surfaces, J. Topol. 7 (2014) 155 MR3180616
26 L Ryffel, Curves intersecting in a circuit pattern, Topology Appl. 332 (2023) 108522 MR4575135
27 B Wajnryb, Artin groups and geometric monodromy, Invent. Math. 138 (1999) 563 MR1719815
28 R F Williams, The braid index of an algebraic link, from: "Braids", Contemp. Math. 78, Amer. Math. Soc. (1988) 697 MR975103