Symmetric products of surfaces; a unifying theme for topology and physics

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This is a review paper about symmetric products of spaces $SP^n(X):= X^n/S_n$. We focus our attention on the symmetric products of 2-manifolds and make a journey through selected topics of algebraic topology, algebraic geometry, mathematical physics, theoretical mechanics etc. where these objects play an important role, demonstrating along the way the fundamental unity of diverse fields of physics and mathematics.

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Algebraic Topology, Combinatorics, 55S15; 52C35

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http://salesiana.dossiersoluciones.com/handle/123456789/72320

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0408417
 http://arxiv.org/abs/math/0408417
 Proceedings of Summer school in modern mathematical physics (B. Dragovic, B. Sazdovic, eds.) SFIN, XV (A3), Institute of Physics, Belgrade 2002

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arXiv