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Communications in Mathematical Physics, ISSN 0010-3616, 05/2006, Volume 264, Issue 1, pp. 41 - 69
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 10/2014, Volume 175, pp. 24 - 34
In 1991, Tzvieli presented several families of optimal four-regular circulants. Prominent among them are three families that include graphs having vertices for... 
Double-loop graphs | Network topology | Twisted tori | Graphs and networks | Tight-optimal circulants | Chordal rings | MATHEMATICS, APPLIED | DOUBLE-LOOP NETWORKS | EFFICIENT DOMINATION | Mathematical analysis | Graphs | Optimization
Journal Article
by Endo, S and Kang, MC
ASIAN JOURNAL OF MATHEMATICS, ISSN 1093-6106, 04/2017, Volume 21, Issue 2, pp. 197 - 224
Let K/k be a finite Galois extension and pi = Gal(K/k). An algebraic torus T defined over k is called a pi-torus if T x(Spec(k)) Spec(K) similar or equal to... 
MATHEMATICS | MATHEMATICS, APPLIED | maximal orders | locally free class groups | PROJECTIVE-MODULES | REPRESENTATIONS | rationality problem | twisted group rings | class numbers | Algebraic torus
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 2010, Volume 411, Issue 40, pp. 3763 - 3773
The hypercube is one of the most popular interconnection networks since it has a simple structure and is easy to implement. An -dimensional twisted cube, , is... 
Hypercube-embedding | Disjoint hypercubes | Mesh-embedding | Disjoint tori | Torus-embedding | Algorithm | Interconnection networks | Twisted cubes | Disjoint meshes | CROSSED CUBE | MESHES | MULTIPROCESSORS | PANCYCLICITY | PATHS | FAMILY | GRAPHS | COMPUTER SCIENCE, THEORY & METHODS | Algorithms | Integers | Interconnection | C (programming language) | Preserves | Cubes | Dilation | Graphs | Hypercubes
Journal Article
Studia Mathematica, ISSN 0039-3223, 2016, Volume 234, Issue 1, pp. 49 - 58
We give a systematic construction of inverse-closed (Banach) subalgebras in general higher-dimensional non-commutative tori. 
Twisted convolution | Spectral invariance | Inverse-closed | GRS condition | algebra | Enveloping C | Non-commutative torus | MATHEMATICS | non-commutative torus | inverse-closed | spectral invariance | ALGEBRAS | SYMMETRY | REPRESENTATIONS | twisted convolution | enveloping C-algebra | CONVOLUTION
Journal Article
Nuclear Physics, Section B, ISSN 0550-3213, 2010, Volume 834, Issue 3, pp. 502 - 522
By exploiting the notion of Morita equivalence for field theories on noncommutative tori and choosing rational values of the noncommutativity parameter (in... 
Twisted CFT | Noncommutative two-tori | Quantum Hall fluids | FRACTIONAL STATISTICS | SUPERCONDUCTIVITY | BROKEN SYMMETRY | CONFORMAL FIELD-THEORY | CONSTRUCTION | COVARIANT | SYSTEMS | QUANTIZATION | SPONTANEOUS INTERLAYER COHERENCE | EDGE STATES | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 6/2014, Volume 277, Issue 1, pp. 195 - 208
In this note, we compute the virtual first Betti numbers of 4-manifolds fibering over $$S^1$$ S 1 with prime fiber. As an application, we show that if such a... 
Mathematics, general | Mathematics | TOPOLOGY | MATHEMATICS | FINITE COVERS | TWISTED ALEXANDER POLYNOMIALS | 3-MANIFOLDS | KODAIRA DIMENSION | 4-MANIFOLDS
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 2009, Volume 257, Issue 6, pp. 1921 - 1946
Journal Article
Journal of Knot Theory and Its Ramifications, ISSN 0218-2165, 07/2013, Volume 22, Issue 8, pp. 1350041 - 1350015
A twisted torus knot is a torus knot with a number of full-twists on some adjacent strands. In this paper, we show that if a twisted torus knot is a satellite... 
essential annulus | Dehn surgery | essential torus | Twisted torus knot | SURGERY | MATHEMATICS | 3-MANIFOLDS | REDUCING DEHN FILLINGS | Satellites | Complement | Knot theory | Strands | Knots
Journal Article
International Journal of Modern Physics A, ISSN 0217-751X, 01/2012, Volume 27, Issue 2, p. 1250007
In a recent paper, by exploiting the notion of Morita equivalence for field theories on noncommutative tori and choosing rational values of the... 
noncommutative two-tori | Twisted CFT | quantum Hall fluids | TORUS | FIELD-THEORY DESCRIPTION | STATES | STATISTICS | SYSTEMS | PHYSICS, NUCLEAR | PHYSICS, PARTICLES & FIELDS | Magnetic fields | Quantum theory
Journal Article
Simulation Series, ISSN 0735-9276, 2013, Volume 45, Issue 6, pp. 122 - 132
Conference Proceeding
International Journal of Computer Mathematics, ISSN 0020-7160, 05/2011, Volume 88, Issue 8, pp. 1595 - 1602
Twisted cubes are an important class of hypercube-variant interconnection networks for parallel computing. In this paper, we evaluate the fault-tolerant... 
twisted cube | fault tolerance | torus | graph embedding | 68M10 | interconnection networks | 68R10 | mesh | Fault tolerance | Mesh | Graph embedding | Twisted cube | Torus | Interconnection networks | MATHEMATICS, APPLIED | CYCLES | PATHS | Networks | Computation | Interconnection | Parallel processing | Cubes | Mathematical models
Journal Article
Physics Reports, ISSN 0370-1573, 03/2015, Volume 566, pp. 1 - 60
We review recent developments in duality symmetric string theory. We begin with the world-sheet doubled formalism which describes strings in an extended... 
String theory | T-duality | M-theory | Generalized geometry | Supergravity | U-duality | TWISTED TORI | PHYSICS, MULTIDISCIPLINARY | SIGMA-MODEL | SPACE | LIE T-DUALITY | MATRIX-THEORY | COMPACTIFICATIONS | TORUS BUNDLES | GEOMETRY
Journal Article
Communications in Number Theory and Physics, ISSN 1931-4523, 2008, Volume 2, Issue 2, pp. 421 - 476
We prove that the Shimizu L-function of a real quadratic field is obtained from a (Lorentzian) spectral triple on a noncommutative torus with real... 
MATHEMATICS | MATHEMATICS, APPLIED | GOOD ORBIFOLDS | VALUES | C-STAR-ALGEBRAS | SIGNATURE DEFECTS | CUSPS | PHYSICS, MATHEMATICAL | TWISTED INDEX THEORY | RIEMANNIAN GEOMETRY
Journal Article
European Journal of Mathematics, ISSN 2199-675X, 3/2017, Volume 3, Issue 1, pp. 34 - 42
Let $$\phi :M\rightarrow M$$ ϕ : M → M be a diffeomorphism of a $$C^{\infty }$$ C ∞ compact connected manifold, and X its mapping torus. There is a natural... 
Massey products | Twisted cohomology | 55T99 | 32Q15 | 55N25 | Algebraic Geometry | Mathematics | Mapping torus | Formal spaces | Strongly formal spaces
Journal Article
by Park, J
JOURNAL OF THE KOREAN PHYSICAL SOCIETY, ISSN 0374-4884, 05/2007, Volume 50, pp. S25 - S28
We explore Type I and heterotic compactifications on twisted tori. Simple examples of Type I compactifications on twisted tori are represented and the tadpole... 
PHYSICS, MULTIDISCIPLINARY | flux compactification | twisted tori
Journal Article
Journal of the Korean Physical Society, ISSN 0374-4884, 05/2007, Volume 50, Issue 1, pp. S25 - S28
Journal Article
Acta Mathematica Scientia, ISSN 0252-9602, 2003, Volume 23, Issue 1, pp. 83 - 94
All C*-algebras of sections of locally trivial C*-algebra bundles over Pi(i=1)(s) L-ki (n(i)) with fibres Aomega circle times M-c (C) are constructed, under... 
Twisted group C-algebra | C-algebra bundle | Cuntz algebra | Homogeneous C-algebra | Lens space | UHF-algebra | K-theory | Noncommutative torus | MATHEMATICS | REAL RANK ZERO | twisted group C-algebra | lens space | homogeneous C-algebra | CLASSIFICATION | noncommutative torus | C-STAR-ALGEBRAS
Journal Article
Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 02/2014, Volume 89, Issue 4
We study the Scherk-Schwarz reduction of D = 11 supergravity with background fluxes in the context of a recently developed framework pertaining to D = 11... 
N=8 SUPERGRAVITY | TWISTED TORI | ASTRONOMY & ASTROPHYSICS | GAUGED SUPERGRAVITY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory
Journal Article
Journal of High Energy Physics, ISSN 1126-6708, 01/2006, Volume 2006, Issue 1, pp. 008 - 201
We consider type II string theory in space-time backgrounds which admit eight supercharges. Such backgrounds are characterized by the existence of a... 
Superstring Vacua | Extended Supersymmetry | KAHLER-MANIFOLDS | II STRING COMPACTIFICATIONS | TWISTED TORI | QUATERNIONIC MANIFOLDS | FIELD-THEORIES | CALABI-YAU ORIENTIFOLDS | GENERAL FLUXES | GAUGED SUPERGRAVITY | extended supersymmetry | SUPERSYMMETRY BREAKING | superstring vacua | GEOMETRY | PHYSICS, PARTICLES & FIELDS
Journal Article
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