Yang–Mills theory over surfaces and the Atiyah–Segal theorem

DA Ramras - Algebraic & Geometric Topology, 2008 - msp.org
In this paper we explain how Morse theory for the Yang–Mills functional can be used to
prove an analogue for surface groups of the Atiyah–Segal theorem. Classically, the Atiyah …

[PDF][PDF] Yang–Mills theory over surfaces and the Atiyah–Segal theorem

DA RAMRAS - scholar.archive.org
In this paper we present evidence of two newly emerging phenomena involving the
representation spaces Hom (Γ, U (n)), for finitely generated discrete groups Γ admitting …

Yang-Mills theory over surfaces and the Atiyah-Segal theorem

DA Ramras - arXiv, 2007 - dml.mathdoc.fr
In this paper we explain how Morse theory for the Yang-Mills functional can be used to prove
an analogue, for surface groups, of the Atiyah-Segal theorem. Classically, the Atiyah-Segal …

Yang-Mills theory over surfaces and the Atiyah-Segal theorem

DA Ramras - arXiv preprint arXiv:0710.0681, 2007 - arxiv.org
In this paper we explain how Morse theory for the Yang-Mills functional can be used to prove
an analogue, for surface groups, of the Atiyah-Segal theorem. Classically, the Atiyah-Segal …

Yang–Mills theory over surfaces and the Atiyah–Segal theorem

DA Ramras - 2008 - projecteuclid.org
In this paper we explain how Morse theory for the Yang–Mills functional can be used to
prove an analogue for surface groups of the Atiyah–Segal theorem. Classically, the Atiyah …

[PDF][PDF] Yang–Mills theory over surfaces and the Atiyah–Segal theorem

DA RAMRAS - arXiv preprint arXiv:0710.0681, 2007 - Citeseer
In this paper we present evidence of two newly emerging phenomena involving the
representation spaces Hom (Γ, U (n)), for finitely generated discrete groups Γ admitting …

Yang–Mills theory over surfaces and the Atiyah–Segal theorem

D Ramras - nyjm.albany.edu
Given a representation f: G→ U (n), one can form a vector bundle over the classifying space
BG via the mixing construction. When G is a compact Lie group, the Atiyah–Segal theorem …

[PDF][PDF] Yang–Mills theory over surfaces and the Atiyah–Segal theorem

DA RAMRAS - arXiv preprint arXiv:0710.0681, 2007 - researchgate.net
In this paper we present evidence of two newly emerging phenomena involving the
representation spaces Hom (Γ, U (n)), for finitely generated discrete groups Γ admitting …

Yang-Mills theory over surfaces and the Atiyah-Segal theorem

DA Ramras - arXiv e-prints, 2007 - ui.adsabs.harvard.edu
In this paper we explain how Morse theory for the Yang-Mills functional can be used to prove
an analogue, for surface groups, of the Atiyah-Segal theorem. Classically, the Atiyah-Segal …

[PDF][PDF] Yang–Mills theory over surfaces and the Atiyah–Segal theorem

DA RAMRAS - arXiv preprint arXiv:0710.0681, 2007 - Citeseer
Associated to any group Γ, one has the (unitary) representation ring R (Γ), which consists of
“virtual isomorphism classes" of representations. Each representation ρ: Γ→ U (n) induces a …