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Monodromy groups and linearly polymorphic functions

Hejhal, Dennis A.·1975·Acta Mathematica
DOI 10.1007/bf02392015
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  • Given one projective structure there are infinitely many others with the same holonomy, but the map from the space of projective structures to the space of holonomy representations is not a covering map.

    “given one projective structure there are infinitely many others with the same holonomy, but the map from the space of projective structures to the space of holonomy representations is not a covering map [47, 48].”

    From Lorentz spacetimes of constant curvature (2007) · cites this paper as [48]

    Theorem 7 reports two linearly polymorphic functions with the same monodromy, and Theorem 8 states that the monodromy map is not a topological covering map (both in the passage labeled §12; page not supplied). The paper thus supports non-uniqueness and the covering-map claim, but these passages do not establish that every projective structure has infinitely many others with the same holonomy. (LLM, conf=0.88)

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Authors
Hejhal, D. A.
Venue
Acta Mathematica
Publisher
International Press of Boston
Published
1975
Volume
135
Issue
0
Pages
1-55
ISSN
0001-5962
DOI
10.1007/bf02392015
Cited by
104
References
0
Language
en

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