at Google ScholarTitle 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 Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Former Professors |
| 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 |