Chern-Simons theory on an arbitrary manifold via surgery

1993/05/12 by Bogusław Broda, Boguslaw Broda, Broda, Boguslaw
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Algebra (math.QA) #Relativity and Gravitational Theory #hep-th #math.QA

paper · pdf · doi:10.48550/arxiv.hep-th/9305051

8 pages

arxiv created 1993/05/12 · openalex publication_date 1993/05/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A general formula for physical observables in Chern-Simons theory with an arbitrary compact Lie group G, on an arbitrary closed oriented three-dimensional manifold \cM is derived in terms of vacuum expectation values of Wilson loops in \cal S³. Surgery presentation of \cM and the Kirby moves are implemented as the main ingredients of the approach. The case of G=\rm SU(n) is explicitly calculated.

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