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Branch Stabilisation for the Components of Hurwitz Moduli Spaces of Galois Covers

Title data

Lönne, Michael:
Branch Stabilisation for the Components of Hurwitz Moduli Spaces of Galois Covers.
In: Neumann, Frank ; Schroll, Sibylle (ed.): Galois Covers, Grothendieck-Teichmüller Theory and Dessins d'Enfants : Interactions between Geometry, Topology, Number Theory and Algebra, Leicester, UK, June 2018. - Cham : Springer , 2020 . - pp. 181-204 . - (Springer Proceedings in Mathematics & Statistics ; 330 )
ISBN 978-3-030-51794-6
DOI: https://doi.org/10.1007/978-3-030-51795-3_9

Abstract in another language

We consider components of Hurwitz moduli space of G-Galois covers and set up a powerful algebraic framework to study the set of corresponding equivalence classes of monodromy maps. Within that we study geometric stabilisation by various G-covers branched over the disc. Our results addresses the problem to decide equivalence and stable equivalence algebraically. We recover a homological invariant, which we show to distinguish the equivalence classes of given boundary monodromy and Nielsen type, if the latter is sufficiently large in the appropriate sense.

Further data

Item Type: Article in a book
Refereed: Yes
Keywords: Monodromy; Galois cover; Hurwitz space; Branch stabilisation; Braid group
Subject classification: Mathematics Subject Classification Code: 14H30 14H10 14G32 14H57 20F36
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Former Professors > Professorship Algebraic Geometry - apl. Prof. Dr. Michael Lönne
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 23 Nov 2021 09:15
Last Modified: 23 Nov 2021 09:15
URI: https://eref.uni-bayreuth.de/id/eprint/67974