[PDF.01qo] Transformation Groups and Moduli Spaces of Curves (volume 16 of the Advanced Lectures in Mathematics series)

Transformation Groups and Moduli Spaces of Curves (volume 16 of the Advanced Lectures in Mathematics series)

[PDF.gn77] Transformation Groups and Moduli Spaces of Curves (volume 16 of the Advanced Lectures in Mathematics series)

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 | #8252278 in Books |  2011-07-15 | Original language:English |  1.24 | File type: PDF | 312 pages

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Transformation groups have played a fundamental role in many areas of mathematics such as differential geometry, geometric topology, algebraic topology, algebraic geometry, and number theory. One of the basic reasons for their importance is that symmetries are described by groups (or rather, by group actions). Quotients of smooth manifolds by group actions are usually not smooth manifolds. On the other hand, if the actions of the groups are proper, then the quotients are...

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