English

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

Algebraic Topology 2007-05-23 v1 Combinatorics

Abstract

This is a review paper about symmetric products of spaces SPn(X):=Xn/SnSP^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.

Keywords

Cite

@article{arxiv.math/0408417,
  title  = {Symmetric products of surfaces; a unifying theme for topology and physics},
  author = {Pavle Blagojevic and Vladimir Grujic and Rade Zivaljevic},
  journal= {arXiv preprint arXiv:math/0408417},
  year   = {2007}
}