Tête-à-tête twists, monodromies and representation of elements of Mapping Class Group

  1. A’Campo, Norbert 1
  2. Fernández de Bobadilla, Javier 234
  3. Pe Pereira, Maria 5
  4. Portilla Cuadrado, Pablo 6
  1. 1 University of Basel
    info

    University of Basel

    Basilea, Suiza

    ROR https://ror.org/02s6k3f65

  2. 2 Ikerbasque, Fundación Vasca para la Ciencia
    info

    Ikerbasque, Fundación Vasca para la Ciencia

    Bilbao, España

    ROR https://ror.org/01cc3fy72

  3. 3 Basque Center for Applied Mathematics
    info

    Basque Center for Applied Mathematics

    Bilbao, España

    ROR 03b21sh32

  4. 4 Universidad del País Vasco/Euskal Herriko Unibertsitatea
    info

    Universidad del País Vasco/Euskal Herriko Unibertsitatea

    Lejona, España

    ROR https://ror.org/000xsnr85

  5. 5 Universidad Complutense de Madrid
    info

    Universidad Complutense de Madrid

    Madrid, España

    ROR 02p0gd045

  6. 6 Mathematics Research Center
    info

    Mathematics Research Center

    Guanajuato, México

    ROR https://ror.org/02nhmp827

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Revista:
Annales de l'Institut Fourier

ISSN: 1777-5310

Año de publicación: 2022

Volumen: 71

Número: 6

Páginas: 2649-2710

Tipo: Artículo

DOI: 10.5802/AIF.3459 GOOGLE SCHOLAR lock_openAcceso abierto editor

Otras publicaciones en: Annales de l'Institut Fourier

Referencias bibliográficas

  • [1] A’Campo, Norbert Sur la monodromie des singularités isolées d’hypersurfaces complexes, Invent. Math., Volume 20 (1973), pp. 147-169
  • [2] A’Campo, Norbert Tête-à-tête twists and geometric monodromy (2010) (available at http://www.math.sci.hiroshima-u.ac.jp/branched/files/2010/ACampo/ttt.pdf)
  • [3] Farb, Benson; Margalit, Dan A primer on mapping class groups, Princeton Mathematical Series, 49, Princeton University Press, 2011
  • [4] Graf, Christian Tête-à-tête graphs and twists, Ph. D. Thesis, University of Basel, Basel, Switzerland (2014) (Version from Aug. 2014 available at http://arxiv.org/abs/1408.1865v1)
  • [5] Graf, Christian Tête-à-tête twists: Periodic Mapping Classes as Graphs (2015)
  • [6] Matsumoto, Yukio; Montesinos-Amilibia, José María Pseudo-periodic maps and degeneration of Riemann surfaces, Lecture Notes in Mathematics, 2030, Springer, 2011
  • [7] Nielsen, Jakob Abbildungsklassen endlicher Ordnung, Acta Math., Volume 75 (1942), pp. 23-115
  • [8] Nielsen, Jakob Surface transformation classes of algebraically finite type, Danske Vid. Selsk. Math.-Phys. Medd., Volume 21 (1944) no. 2, pp. 1-89
  • [9] Portilla Cuadrado, Pablo; Sigurðsson, Baldur Mixed tête-à-tête twists as monodromies associated with holomorphic function germs, Geom. Dedicata, Volume 210 (2021), pp. 43-64
  • [10] Raymond, Frank; Scott, Leonard L. Failure of Nielsen’s theorem in higher dimensions, Arch. Math., Volume 29 (1977) no. 6, pp. 643-654