1996/12/01 by Kefeng Liu, Liu, Kefeng
Mathematics · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Quantum Algebra (math.QA) #alg-geom #dg-ga #math.AG #math.DG #math.QA #q-alg
paper · pdf · doi:10.48550/arxiv.dg-ga/9612001
A mistakes in Section 4 is corrected, argument in Section 5 is clarified. To appear in MRL
openalex publication_date 1996/12/01 · arxiv created 1997/04/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we continue our study on the moduli spaces of flat G-bundles, for any semi-simple Lie group G, over a Riemann surface by using heat kernel and Reidemeister torsion. Formulas for intersection numbers on the moduli spaces over a Riemann surface with several boundary components, over non-orientable Riemann surfaces are obtained. Some general vanishing theorems about characteristic numbers of the moduli spaces are proved. We also extend our method to study Higgs moduli spaces, to introduce invariants for knots and 3-manifolds.