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3-manifolds algebra algorithm analysis applications approximation asymptotic automorphism Banach algebra Banach space boundary bounded C*-algebras calculus coefficients cohomology College compact complex conjecture construction convergence convex course curves defined Department of Mathematics Dept describe developed differential equations dimension dimensional discuss domain dynamics eigenvalues elements examples existence field finite formula function geometry graph groupoid holomorphic homeomorphic hyperbolic ideal inequality infinite integral invariant isomorphic July lattice Lie algebra Lie groups linear linear algebra manifolds maps Math Mathematics Department matrix method metric modules moduli space nonlinear obtained operators paper parameter points polynomial Preliminary report present problem properties prove Received December Received June Received November Received October 02 Received September 30 representation Riemann surfaces ring Sciences semigroups September 27 September 30 sequence solutions Statistics structure subgroup subset subspace surface symmetric talk theorem theory topological transform Univ University vector wavelet