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3-manifolds algorithm analysis approximation asymptotic August 13 boundary bounded classical coefficients cohomology combinatorial compact complex compute conjecture construction convex Coxeter group curvature curves defined Department of Mathematics Dept differential equations dimension dimensional discrete discuss domain dynamics elliptic estimates finite formula functions geometry graph Gromov-Witten invariants Hilbert Hilbert scheme homology homomorphism homotopy Hopf algebra hyperbolic infinite integral invariant irreducible isomorphic L-functions Lie algebra Lie group linear manifolds March 12 Math Mathematical Sciences Mathematics and Statistics matrix matroids method metric minimal modules nilpotent nonlinear obtain operators orbifold orbits parameters polynomials Preliminary report present problem proof properties prove quandles quantum Received April Received August Received August 13 Received July Received March 12 Received September 17 representations ring Schubert Schubert calculus September 17 sequence singularities solutions space structure subgroups surfaces symmetric symmetric group talk theorem theory topological University wavelet waves