Torus Shape – Definition, Examples, and Diagrams - Math Monks
Aug 3, 2023 · What is a torus in geometry. Learn how to find its surface area and volume with solved examples and diagrams.
Torus conformal blocks and Casimir equations in the necklace channel
We consider the conformal block decomposition in arbitrary exchange channels of a two-dimensional conformal field theory on a torus. The channels are described by diagrams built of a closed loop with external legs (a necklace sub-diagram) and trivale...
Mission torus 270 light
Hello I have a Mission torus 270 light. Are that possible to unplug it in this area? (In the picture) when I have to rotate the board. Instead of taking everything down. ...
Torus - Math is Fun
Go to Surface Area or Volume. A torus is a fascinating 3D shape that looks like a donut or swim ring. It is created by revolving a smaller...
Torus: A distributed storage system by CoreOS
Points: 267 | Comments: 183 | Author: philips
Torus - Wikipedia
Torus is a Latin word denoting something round, a swelling, an elevation, a protuberance.
The Picard index of a surface with torus action
We consider normal rational projective surfaces with torus action and provide a formula for their Picard index, that means the index of the Picard group inside the divisor class group. As an application, we classify the log del Pezzo surfaces with to...
v-Representability on a one-dimensional torus at elevated temperatures
We extend a previous result [Sutter et al., J. Phys. A: Math. Theor. 57, 475202 (2024)] to give an explicit form of the set of $v$-representable densities on the one-dimensional torus with any fixed number of particles in contact with a heat bath at...
Torus Knots in Lens Spaces & Topological Strings
We study the invariant of knots in lens spaces defined from quantum Chern-Simons theory. By means of the knot operator formalism, we derive a generalization of the Rosso-Jones formula for torus knots in L(p,1). In the second part of the paper, we pro...
Torus Knots and the Chern-Simons path integral: a rigorous treatment
In 1993 Rosso and Jones computed for every simple, complex Lie algebra g_C and every colored torus knot in S^3 the value of the corresponding U_q(g_C)-quantum invariant by using the machinery of quantum groups. In the present paper we derive a S^2 x...
Zero-mode dynamics in supersymmetric Yang-Mills-Chern-Simons theory
We consider minimally supersymmetric Yang-Mills theory with a Chern-Simons term on a flat spatial two-torus in the limit when the torus becomes small. The zero-modes of the fields then decouple from the non-zero modes and give rise to a spectrum of s...
Fano threefolds with 2-torus action - a picture book
Following the work of Altmann and Hausen we give a combinatorial description in terms for smooth Fano threefolds admitting a 2-torus action. We show that a whole variety of properties and invariants can be read off from this description. As an applic...
Toric topology of the Grassmannian of planes in $\mathbb{C}^5$ and the del Pezzo surface o…
We determine the integral homology of the orbit space of a maximal compact torus action on the Grassmannian Gr(2,5). Our approach uses the well-known Geometric Invariant Theory of the maximal algebraic torus action on this Grassmannian....
Orbit spaces of maximal torus actions on oriented Grassmannians of planes
Motivated by Buchstaber's and Terzic' work on the complex Grassmannians G(2,4) and G(2,5) we describe the moment map and the orbit space of oriented Grassmannians of planes under the action of a maximal compact torus. Our main tool is the realisation...
On the range of the planar $X$-ray transform on the Fourier lattice of the torus
We find necessary and sufficient conditions on the Fourier coefficients of a function $g$ on the torus to be in the range of the $X$-ray transform of functions with compact support in the plane, and establish the connection between the range characte...
Torus knots and Dunwoody manifolds
We obtain an explicit representation, as Dunwoody manifolds, of all cyclic branched coverings of torus knots of type $(p,mp\pm 1)$, with $p>1$ and $m>0$....
Global boundary conditions for a Dirac operator on the solid torus
We study a Dirac operator subject to Atiayh-Patodi-Singer like boundary conditions on the solid torus and show that the corresponding boundary value problem is elliptic, in the sense that the Dirac operator has a compact parametrix....
Hyperbolic deformation of the strip-equation and the accessory parameters for the torus
By applying an hyperbolic deformation to the uniformization problem for the infinite strip, we give a method for computing the accessory parameter for the torus with one source as an expansion in the modular parameter q. At O(q^0) we obtain the same...
Accessory parameters for Liouville theory on the torus
We give an implicit equation for the accessory parameter on the torus which is the necessary and sufficient condition to obtain the monodromy of the conformal factor. It is shown that the perturbative series for the accessory parameter in the couplin...
general topology - Mismatching Euler characteristic of the Torus ...
Jun 10, 2024 · You should use Euler formula on a triangulation if you want to compute the euler characteristic. One easy triangulation of the torus can be obtained as following: Obtained by …