Results 1 - 10 of 3,995

The loop orbifold of the symmetric product

by Ernesto Lupercio, Bernardo Uribe, Miguel, A. Xicotencatl
"... 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 Chas-Sullivan product structure in the homology of the free loop space of the Borel constructi ..."
Abstract - Cited by 8 (3 self) - Add to MetaCart
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 Chas-Sullivan product structure in the homology of the free loop space of the Borel

Orbifold cohomology of the symmetric product

by Bernardo Uribe - 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 ..."
Abstract - Cited by 31 (4 self) - Add to MetaCart
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

by Alejandro Illanes, Sergio Macías, Sam B. Nadler, Jr. - 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 ..."
Abstract - Add to MetaCart
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

3-Fold Symmetric Products . . .

by Ciro Ciliberto, Mikhail Zaidenberg , 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. ..."
Abstract - Add to MetaCart
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

by Helge Maakestad , 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 ..."
Abstract - Add to MetaCart
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

by Laurentiu Maxim, Jörg Schürmann - 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 quasi-projective varieties X with any kind of singularities, and which include many of the classical results in the literature as special cases. ..."
Abstract - Cited by 7 (4 self) - Add to MetaCart
Abstract. We prove very general formulae for the generating series of (Hodge) genera of symmetric products X (n) with coefficients, which hold for complex quasi-projective 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

by Pavle Blagojević, Vladimir Grujić, Rade Zivaljević , 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 ..."
Abstract - Add to MetaCart
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

by Robbert Dijkgraaf , 1999
"... In this note we point out that a symmetric product orbifold CFT can be twisted by a unique nontrivial two-cocycle 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 ..."
Abstract - Cited by 11 (0 self) - Add to MetaCart
In this note we point out that a symmetric product orbifold CFT can be twisted by a unique nontrivial two-cocycle 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

by Hiroyuki Fuji , 2001
"... The string theory on symmetric product describes the second-quantized 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 ..."
Abstract - Add to MetaCart
The string theory on symmetric product describes the second-quantized 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

by Benjamin Doerr, Michael Gnewuch, Nils Hebbinghaus
"... 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 c-color 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 ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
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 c-color 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