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The Poincare Polynomial of a Symmetric Product
Mathematical Proceedings of the Cambridge Philosophical Society, 1962Let X be a compact polyhedron, Xn the topological product of n factors equal to X. The symmetric group Sn operates on Xn by permuting the factors, and hence if G is any subgroup of Sn we have an orbit space Xn/G obtained by identifying each point of Xn with its images under G.
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QUANTUM COHOMOLOGIES OF SYMMETRIC PRODUCTS
International Journal of Geometric Methods in Modern Physics, 2012In this paper we investigate the quantum cohomologies of symmetric products of Kähler manifolds. To do this we study the moduli space of product space and symmetric group action on it, Gromov–Witten invariant and relative Gromov–Witten invariant. Also we investigate the relations between symmetric invariant properties on the products space and the ...
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Secant Bundles on Symmetric Products
American Journal of Mathematics, 1965Summary:
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QUANTIZED SYMMETRIZATIONS AND ⋆-PRODUCTS
Quantum Theory and Symmetries, 2002Mathematics
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Symmetric products of the circle
Mathematical Proceedings of the Cambridge Philosophical Society, 1967The nth symmetric product of a topological space, X, is defined to be the quotient of the Cartesian product Xn by the action of the symmetric group which permutes the factors. Even if X is a manifold, this product is, in general, not a manifold. The purpose of this note is to determine these products when X is the circle, S1, and to show that they are ...
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On sums of range symmetric matrices with reference to indefinite inner product
Indian Journal of Pure and Applied Mathematics, 2019D Krishnaswamy
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