In algebraic geometry classification problems, an algebraic variety (or other appropriate space
in other parts of geometry) whose points correspond to the equivalence classes of
the objects to be classified in some natural way. Moduli space can be thought of
as the space of equivalence classes of complex
structures on a fixed surface of genus 
, where two complex structures
are deemed "the same" if they are equivalent by conformal
mapping.
Moduli Space
See also
Algebraic Variety, Complex StructureThis entry contributed by Edgar van Tuyll
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References
Kirwan, F. "Introduction to Moduli Spaces." In Proceedings of the EWM Workshop on Moduli Spaces, Oxford, EWM. 1999.Naber, G. L. Topology, Geometry and Gauge Fields: Foundations. New York: Springer-Verlag, 1997.Polchinski, J. G. String Theory: An Introduction to the Bosonic String. Cambridge, England: Cambridge University Press, 1998.Referenced on Wolfram|Alpha
Moduli SpaceCite this as:
van Tuyll, Edgar. "Moduli Space." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/ModuliSpace.html