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The loop orbifold of the symmetric product
"... Abstract. By using the loop orbifold of the symmetric product, we give a formula for the Poincaré polynomial of the free loop space of the Borel construction of the symmetric product. We also show that the ChasSullivan product structure in the homology of the free loop space of the Borel constructi ..."
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Cited by 8 (3 self)
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Abstract. By using the loop orbifold of the symmetric product, we give a formula for the Poincaré polynomial of the free loop space of the Borel construction of the symmetric product. We also show that the ChasSullivan product structure in the homology of the free loop space of the Borel
Orbifold cohomology of the symmetric product
 Comm. Anal. Geom
"... Abstract. Chen and Ruan’s orbifold cohomology of the symmetric product of a complex manifold is calculated. An isomorphism of rings (up to a change of signs) H ∗ orb (Xn /Sn; C) ∼ = H ∗ (X [n] ; C) between the orbifold cohomology of the symmetric product of a smooth projective surface with trivial ..."
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Cited by 31 (4 self)
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Abstract. Chen and Ruan’s orbifold cohomology of the symmetric product of a complex manifold is calculated. An isomorphism of rings (up to a change of signs) H ∗ orb (Xn /Sn; C) ∼ = H ∗ (X [n] ; C) between the orbifold cohomology of the symmetric product of a smooth projective surface with trivial
Symmetric Products and Q–manifolds
 CONTEMPORARY MATHEMATICS
, 1999
"... An example is given of a compact absolute retract that is not a Hilbert cube manifold but whose second symmetric product is the Hilbert cube. A factor theorem is given for n th symmetric product of the cartesian product of any absolute neighborhood retract with the Hilbert cube. A short proof is in ..."
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An example is given of a compact absolute retract that is not a Hilbert cube manifold but whose second symmetric product is the Hilbert cube. A factor theorem is given for n th symmetric product of the cartesian product of any absolute neighborhood retract with the Hilbert cube. A short proof
3Fold Symmetric Products . . .
, 2003
"... We construct new examples of Kobayashi hyperbolic hypersurfaces in P 4. They are generic projections of the triple symmetric product V = C(3) of a generic genus g ≥ 6 curve C, smoothly embedded in P 7. ..."
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We construct new examples of Kobayashi hyperbolic hypersurfaces in P 4. They are generic projections of the triple symmetric product V = C(3) of a generic genus g ≥ 6 curve C, smoothly embedded in P 7.
RESULTANTS AND SYMMETRIC PRODUCTS
, 2005
"... Abstract. We use the symmetric product Symn (P1 k) of the projective line to describe the resultant scheme Rn,m in Pn k × Pm k as a quotient X/G where X = (P1 k)n+m and G ⊆ Autk(X) is a finite subgroup. As a special case we give a description of the discriminant scheme in terms of the symmetric prod ..."
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Abstract. We use the symmetric product Symn (P1 k) of the projective line to describe the resultant scheme Rn,m in Pn k × Pm k as a quotient X/G where X = (P1 k)n+m and G ⊆ Autk(X) is a finite subgroup. As a special case we give a description of the discriminant scheme in terms of the symmetric
Twisted genera of symmetric products
 arXiv:0906.1264v1 SHOJI YOKURA
"... Abstract. We prove very general formulae for the generating series of (Hodge) genera of symmetric products X (n) with coefficients, which hold for complex quasiprojective varieties X with any kind of singularities, and which include many of the classical results in the literature as special cases. ..."
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Cited by 7 (4 self)
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Abstract. We prove very general formulae for the generating series of (Hodge) genera of symmetric products X (n) with coefficients, which hold for complex quasiprojective varieties X with any kind of singularities, and which include many of the classical results in the literature as special cases
Arrangements of symmetric products of spaces
, 2003
"... We study the combinatorics and topology of general arrangements of subspaces of the form D + SP n−d (X) in symmetric products SP n (X) where D ∈ SP d (X). Symmetric products SP m (X): = X m /Sm, also known as the spaces of effective “divisors ” of order m, together with their companion spaces of div ..."
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We study the combinatorics and topology of general arrangements of subspaces of the form D + SP n−d (X) in symmetric products SP n (X) where D ∈ SP d (X). Symmetric products SP m (X): = X m /Sm, also known as the spaces of effective “divisors ” of order m, together with their companion spaces
Discrete Torsion and Symmetric Products
, 1999
"... In this note we point out that a symmetric product orbifold CFT can be twisted by a unique nontrivial twococycle of the permutation group. This discrete torsion changes the spins and statistics of corresponding secondquantized string theory making it essentially “supersymmetric.” The long strings o ..."
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Cited by 11 (0 self)
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In this note we point out that a symmetric product orbifold CFT can be twisted by a unique nontrivial twococycle of the permutation group. This discrete torsion changes the spins and statistics of corresponding secondquantized string theory making it essentially “supersymmetric.” The long strings
Open Superstring on Symmetric Product
, 2001
"... The string theory on symmetric product describes the secondquantized string theory. The development for the bosonic open string was discussed in the previous work.[1] In this paper, we consider the open superstring theory on the symmetric product and examine the nature of the second quantization. T ..."
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The string theory on symmetric product describes the secondquantized string theory. The development for the bosonic open string was discussed in the previous work.[1] In this paper, we consider the open superstring theory on the symmetric product and examine the nature of the second quantization
Discrepancy of Symmetric Products of Hypergraphs
"... For a hypergraph H =(V,E), its d–fold symmetric product is defined to be ∆ d H =(V d, {E d E ∈E}). We give several upper and lower bounds for the ccolor discrepancy of such products. In particular, we show that the bound disc( ∆ d H, 2) ≤ disc(H, 2) proven for all d in [B. Doerr, A. Srivastav, and ..."
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Cited by 1 (0 self)
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For a hypergraph H =(V,E), its d–fold symmetric product is defined to be ∆ d H =(V d, {E d E ∈E}). We give several upper and lower bounds for the ccolor discrepancy of such products. In particular, we show that the bound disc( ∆ d H, 2) ≤ disc(H, 2) proven for all d in [B. Doerr, A. Srivastav
Results 1  10
of
3,995