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

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

2004-08-30

arxiv.org/abs/math/0408417v1

Proceedings of Summer school in modern mathematical physics (B. Dragovic, B. Sazdovic, eds.) SFIN, XV (A3), Institute of Physi

Mathematics

Algebraic Topology

Scientific paper

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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