Table of Contents
51 relations: Abstract algebra, Advances in Theoretical and Mathematical Physics, Alexei Kitaev, Algebraic topology, Anton Kapustin, Ashoke Sen, Bogomol'nyi–Prasad–Sommerfield bound, Chern class, Chern–Simons theory, Cohomology, Communications in Mathematical Physics, Compact space, Compactification (physics), Condensed matter physics, D-brane, Dan Freed, Differential form, Edward Witten, Elliptic cohomology, Gauge theory, Generalized complex structure, Geometric quantization, Greg Moore (physicist), Hodge star operator, Jonathan Rosenberg (mathematician), Journal of High Energy Physics, Juan Maldacena, K-theory, Kalb–Ramond field, M-theory, Nathan Seiberg, NS5-brane, Nuclear Physics (journal), Orientifold, Petr Hořava (physicist), Ramond–Ramond field, S-duality, Seiberg duality, Spacetime, Spinor, Steenrod algebra, String theory, Supergravity, Supersymmetry, T-duality, Tachyon condensation, Time, Topological insulator, Topological K-theory, Twisted K-theory, ... Expand index (1 more) »
- K-theory
Abstract algebra
In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations acting on their elements.
See K-theory (physics) and Abstract algebra
Advances in Theoretical and Mathematical Physics
Advances in Theoretical and Mathematical Physics (ATMP) is a peer-reviewed, mathematics journal, published by International Press.
See K-theory (physics) and Advances in Theoretical and Mathematical Physics
Alexei Kitaev
Alexei Yurievich Kitaev (Алексей Юрьевич Китаев; born August 26, 1963) is a Russian–American professor of physics at the California Institute of Technology and permanent member of the Kavli Institute for Theoretical Physics.
See K-theory (physics) and Alexei Kitaev
Algebraic topology
Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces.
See K-theory (physics) and Algebraic topology
Anton Kapustin
Anton Nikolayevich Kapustin (born November 10, 1971, Moscow) is a Russian-American theoretical physicist and the Earle C. Anthony Professor of Theoretical Physics at the California Institute of Technology.
See K-theory (physics) and Anton Kapustin
Ashoke Sen
Ashoke Sen FRS (born 1956) is an Indian theoretical physicist and distinguished professor at the International Centre for Theoretical Sciences (ICTS), Bangalore.
See K-theory (physics) and Ashoke Sen
Bogomol'nyi–Prasad–Sommerfield bound
The Bogomol'nyi–Prasad–Sommerfield bound (named after Evgeny Bogomolny, M.K. Prasad, and Charles Sommerfield) is a series of inequalities for solutions of partial differential equations depending on the homotopy class of the solution at infinity.
See K-theory (physics) and Bogomol'nyi–Prasad–Sommerfield bound
Chern class
In mathematics, in particular in algebraic topology, differential geometry and algebraic geometry, the Chern classes are characteristic classes associated with complex vector bundles.
See K-theory (physics) and Chern class
Chern–Simons theory
The Chern–Simons theory is a 3-dimensional topological quantum field theory of Schwarz type developed by Edward Witten.
See K-theory (physics) and Chern–Simons theory
Cohomology
In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups, usually one associated with a topological space, often defined from a cochain complex.
See K-theory (physics) and Cohomology
Communications in Mathematical Physics
Communications in Mathematical Physics is a peer-reviewed academic journal published by Springer.
See K-theory (physics) and Communications in Mathematical Physics
Compact space
In mathematics, specifically general topology, compactness is a property that seeks to generalize the notion of a closed and bounded subset of Euclidean space.
See K-theory (physics) and Compact space
Compactification (physics)
In theoretical physics, compactification means changing a theory with respect to one of its space-time dimensions. K-theory (physics) and compactification (physics) are string theory.
See K-theory (physics) and Compactification (physics)
Condensed matter physics
Condensed matter physics is the field of physics that deals with the macroscopic and microscopic physical properties of matter, especially the solid and liquid phases, that arise from electromagnetic forces between atoms and electrons.
See K-theory (physics) and Condensed matter physics
D-brane
In string theory, D-branes, short for Dirichlet membrane, are a class of extended objects upon which open strings can end with Dirichlet boundary conditions, after which they are named. K-theory (physics) and d-brane are string theory.
See K-theory (physics) and D-brane
Dan Freed
Daniel Stuart Freed (born 17 April 1959) is an American mathematician, specializing in global analysis and its applications to supersymmetry, string theory, and quantum field theory.
See K-theory (physics) and Dan Freed
Differential form
In mathematics, differential forms provide a unified approach to define integrands over curves, surfaces, solids, and higher-dimensional manifolds.
See K-theory (physics) and Differential form
Edward Witten
Edward Witten (born August 26, 1951) is an American theoretical physicist known for his contributions to string theory, topological quantum field theory, and various areas of mathematics.
See K-theory (physics) and Edward Witten
Elliptic cohomology
In mathematics, elliptic cohomology is a cohomology theory in the sense of algebraic topology.
See K-theory (physics) and Elliptic cohomology
Gauge theory
In physics, a gauge theory is a type of field theory in which the Lagrangian, and hence the dynamics of the system itself, do not change under local transformations according to certain smooth families of operations (Lie groups).
See K-theory (physics) and Gauge theory
Generalized complex structure
In the field of mathematics known as differential geometry, a generalized complex structure is a property of a differential manifold that includes as special cases a complex structure and a symplectic structure.
See K-theory (physics) and Generalized complex structure
Geometric quantization
In mathematical physics, geometric quantization is a mathematical approach to defining a quantum theory corresponding to a given classical theory.
See K-theory (physics) and Geometric quantization
Greg Moore (physicist)
Gregory W. Moore is an American theoretical physicist who specializes in mathematical physics and string theory.
See K-theory (physics) and Greg Moore (physicist)
Hodge star operator
In mathematics, the Hodge star operator or Hodge star is a linear map defined on the exterior algebra of a finite-dimensional oriented vector space endowed with a nondegenerate symmetric bilinear form.
See K-theory (physics) and Hodge star operator
Jonathan Rosenberg (mathematician)
Jonathan Micah Rosenberg (born December 30, 1951, in Chicago, Illinois) is an American mathematician, working in algebraic topology, operator algebras, K-theory and representation theory, with applications to string theory (especially dualities) in physics.
See K-theory (physics) and Jonathan Rosenberg (mathematician)
Journal of High Energy Physics
The Journal of High Energy Physics is a monthly peer-reviewed open access scientific journal covering the field of high energy physics.
See K-theory (physics) and Journal of High Energy Physics
Juan Maldacena
Juan Martín Maldacena (born 10 September 1968) is an Argentine theoretical physicist and the Carl P. Feinberg Professor in the School of Natural Sciences at the Institute for Advanced Study, Princeton.
See K-theory (physics) and Juan Maldacena
K-theory
In mathematics, K-theory is, roughly speaking, the study of a ring generated by vector bundles over a topological space or scheme.
See K-theory (physics) and K-theory
Kalb–Ramond field
In theoretical physics in general and string theory in particular, the Kalb–Ramond field (named after Michael Kalb and Pierre Ramond), also known as the Kalb–Ramond B-field or Kalb–Ramond NS–NS B-field, is a quantum field that transforms as a two-form, i.e., an antisymmetric tensor field with two indices. K-theory (physics) and Kalb–Ramond field are string theory.
See K-theory (physics) and Kalb–Ramond field
M-theory
M-theory is a theory in physics that unifies all consistent versions of superstring theory. K-theory (physics) and m-theory are string theory.
See K-theory (physics) and M-theory
Nathan Seiberg
Nathan "Nati" Seiberg (born September 22, 1956) is an Israeli American theoretical physicist who works on quantum field theory and string theory.
See K-theory (physics) and Nathan Seiberg
NS5-brane
In string theory, the NS5-brane is a fundamental extended object in six-dimensional spacetime that carries magnetic charge under the Neveu–Schwarz B-field. K-theory (physics) and NS5-brane are string theory.
See K-theory (physics) and NS5-brane
Nuclear Physics (journal)
Nuclear Physics A, Nuclear Physics B, Nuclear Physics B: Proceedings Supplements and discontinued Nuclear Physics are peer-reviewed scientific journals published by Elsevier.
See K-theory (physics) and Nuclear Physics (journal)
Orientifold
In theoretical physics orientifold is a generalization of the notion of orbifold, proposed by Augusto Sagnotti in 1987. K-theory (physics) and orientifold are string theory.
See K-theory (physics) and Orientifold
Petr Hořava (physicist)
Petr Hořava (born 1963 in Prostějov) is a Czech string theorist.
See K-theory (physics) and Petr Hořava (physicist)
Ramond–Ramond field
In theoretical physics, Ramond–Ramond fields are differential form fields in the 10-dimensional spacetime of type II supergravity theories, which are the classical limits of type II string theory. K-theory (physics) and Ramond–Ramond field are string theory.
See K-theory (physics) and Ramond–Ramond field
S-duality
In theoretical physics, S-duality (short for strong–weak duality, or Sen duality) is an equivalence of two physical theories, which may be either quantum field theories or string theories. K-theory (physics) and s-duality are string theory.
See K-theory (physics) and S-duality
Seiberg duality
In quantum field theory, Seiberg duality, conjectured by Nathan Seiberg in 1994, is an S-duality relating two different supersymmetric QCDs.
See K-theory (physics) and Seiberg duality
Spacetime
In physics, spacetime, also called the space-time continuum, is a mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum.
See K-theory (physics) and Spacetime
Spinor
In geometry and physics, spinors are elements of a complex number-based vector space that can be associated with Euclidean space.
See K-theory (physics) and Spinor
Steenrod algebra
In algebraic topology, a Steenrod algebra was defined by to be the algebra of stable cohomology operations for mod p cohomology.
See K-theory (physics) and Steenrod algebra
String theory
In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings.
See K-theory (physics) and String theory
Supergravity
In theoretical physics, supergravity (supergravity theory; SUGRA for short) is a modern field theory that combines the principles of supersymmetry and general relativity; this is in contrast to non-gravitational supersymmetric theories such as the Minimal Supersymmetric Standard Model.
See K-theory (physics) and Supergravity
Supersymmetry
Supersymmetry is a theoretical framework in physics that suggests the existence of a symmetry between particles with integer spin (bosons) and particles with half-integer spin (fermions).
See K-theory (physics) and Supersymmetry
T-duality
T-duality (short for target-space duality) in theoretical physics is an equivalence of two physical theories, which may be either quantum field theories or string theories. K-theory (physics) and t-duality are string theory.
See K-theory (physics) and T-duality
Tachyon condensation
Tachyon condensation is a process in particle physics in which a system can lower its potential energy by spontaneously producing particles. K-theory (physics) and Tachyon condensation are string theory.
See K-theory (physics) and Tachyon condensation
Time
Time is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, and into the future.
See K-theory (physics) and Time
Topological insulator
A topological insulator is a material whose interior behaves as an electrical insulator while its surface behaves as an electrical conductor, meaning that electrons can only move along the surface of the material.
See K-theory (physics) and Topological insulator
Topological K-theory
In mathematics, topological -theory is a branch of algebraic topology. K-theory (physics) and topological K-theory are k-theory.
See K-theory (physics) and Topological K-theory
Twisted K-theory
In mathematics, twisted K-theory (also called K-theory with local coefficients) is a variation on K-theory, a mathematical theory from the 1950s that spans algebraic topology, abstract algebra and operator theory. K-theory (physics) and twisted K-theory are k-theory.
See K-theory (physics) and Twisted K-theory
Type II string theory
In theoretical physics, type II string theory is a unified term that includes both type IIA strings and type IIB strings theories. K-theory (physics) and type II string theory are string theory.
See K-theory (physics) and Type II string theory
See also
K-theory
- Λ-ring
- Additive K-theory
- Algebraic K-theory
- Assembly map
- Atiyah–Hirzebruch spectral sequence
- Atiyah–Segal completion theorem
- Baum–Connes conjecture
- Birch–Tate conjecture
- Bott cannibalistic class
- Calkin algebra
- Circle bundle
- Farrell–Jones conjecture
- Goncharov conjecture
- Grothendieck group
- K-homology
- K-theory
- K-theory (physics)
- K-theory of a category
- KK-theory
- KR-theory
- Karoubi conjecture
- Kuiper's theorem
- Milnor K-theory
- Milnor conjecture (K-theory)
- Norm variety
- Operator K-theory
- Serre–Swan theorem
- Snaith's theorem
- Spin structure
- Stable range condition
- Steinberg group (K-theory)
- Steinberg symbol
- Topological K-theory
- Twisted K-theory
- Weibel's conjecture
- Weyl–von Neumann theorem
- Whitehead's lemma