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 Structure
*This 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 Space## Cite this as:

van Tuyll, Edgar. "Moduli Space." From *MathWorld*--A Wolfram Web Resource, created by Eric
W. Weisstein. https://mathworld.wolfram.com/ModuliSpace.html