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

2004/08/30 by Pavle Blagojevic, Vladimir Grujic, Rade Zivaljevic · 2 citations
Mathematics · #math.AT #math.CO #msc:55S15 #msc:52C35

paper · pdf

published as Proceedings of Summer school in modern mathematical physics (B. Dragovic, B. Sazdovic, eds.) SFIN, XV (A3), Institute of Physics, Belgrade 2002

arxiv created 2004/08/30 · arxiv updated 2009/12/01

Abstract

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

Cited by

• Symmetric power of higher dimensional varieties
• On totally symplectically aspherical manifolds

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