An Example of Quaternionic Kontsevich-Zorich Monodromy Group

2018 ◽  
pp. 105-115
Author(s):  
Carlos Matheus Silva Santos
Keyword(s):  
Monodromy Group

On a conjecture of Magnus on the Hurwitz Monodromy group

1973 ◽  
Vol 132 (1) ◽  
pp. 45-50 ◽  
Author(s):  
Colin Maclachlan
Keyword(s):  
Monodromy Group

scholarly journals Arithmeticity of the monodromy of some Kodaira fibrations

2019 ◽  
Vol 156 (1) ◽  
pp. 114-157
Author(s):  
Nick Salter ◽  
Bena Tshishiku
Keyword(s):  
Mapping Class Group ◽  
Class Group ◽  
Monodromy Group ◽  
Algebraic Curves ◽  
Algebraic Surfaces ◽  
Mapping Class ◽  
Complex Varieties

A question of Griffiths–Schmid asks when the monodromy group of an algebraic family of complex varieties is arithmetic. We resolve this in the affirmative for a class of algebraic surfaces known as Atiyah–Kodaira manifolds, which have base and fibers equal to complete algebraic curves. Our methods are topological in nature and involve an analysis of the ‘geometric’ monodromy, valued in the mapping class group of the fiber.

scholarly journals SUPERPOTENTIAL OF THE M-THEORY CONIFOLD AND TYPE IIA STRING THEORY

2004 ◽  
Vol 19 (04) ◽  
pp. 521-555 ◽  
Author(s):  
GOTTFRIED CURIO
Keyword(s):  
String Theory ◽  
Heisenberg Group ◽  
Group Action ◽  
Moduli Space ◽  
Monodromy Group ◽  
Witten Theory ◽  
Flat Bundle ◽  
M Theory

The membrane instanton superpotential for M-theory on the G2 holonomy manifold given by the cone on S3×S3 is given by the dilogarithm and has Heisenberg monodromy group in the quantum moduli space. We compare this to a Heisenberg group action on the type IIA hypermultiplet moduli space for the universal hypermultiplet, to metric corrections from membrane instantons related to a twisted dilogarithm for the deformed conifold and to a flat bundle related to a conifold period, the Heisenberg group and the dilogarithm appearing in five-dimensional Seiberg/Witten theory.

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