Monopoles And Three-manifolds
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Monopole may refer to: * Magnetic monopole, or Dirac monopole, a hypothetical particle that may be loosely described as a magnet with only one pole *
Monopole (mathematics) In mathematics, a monopole is a connection over a principal bundle ''G'' with a section of the associated adjoint bundle. Physical interpretation Physically, the section can be interpreted as a ''Higgs field'', where the connection and Higgs fie ...
, a connection over a principal bundle G with a section (the Higgs field) of the associated adjoint bundle * ''Monopole'', the first term in a
multipole expansion A multipole expansion is a mathematical series representing a function that depends on angles—usually the two angles used in the spherical coordinate system (the polar and azimuthal angles) for three-dimensional Euclidean space, \R^3. Similarly ...
* Monopole (wine), an appellation owned by only one winery * ''Monopole'' (album), a 2011 album by White Town * Monopole antenna, a radio antenna that replaces half of a dipole antenna with a ground plane at right-angles to the remaining half * Monopole, a tubular self-supporting telecommunications mast * ''The Monopole'', a bar in
Plattsburgh, NY Plattsburgh ( moh, Tsi ietsénhtha) is a city in, and the seat of, Clinton County, New York, United States, situated on the north-western shore of Lake Champlain. The population was 19,841 at the 2020 census. The population of the surrounding ...
* Établissements Monopole, a French auto parts manufacturer, racing car builder and racing team.


See also

* Dipole, a particle with a north and south pole *
Dyon In physics, a dyon is a hypothetical particle in 4-dimensional theories with both electric and magnetic charges. A dyon with a zero electric charge is usually referred to as a magnetic monopole. Many grand unified theories predict the existence of ...
, a particle with electric and magnetic charge * Instanton, a class of field solutions that includes monopoles *
Monomial In mathematics, a monomial is, roughly speaking, a polynomial which has only one term. Two definitions of a monomial may be encountered: # A monomial, also called power product, is a product of powers of variables with nonnegative integer exponent ...
, a polynomial which has only one term * Monopoly (disambiguation) * Seiberg-Witten monopole, a solution of the Seiberg-Witten equations *
't Hooft–Polyakov monopole __NOTOC__ In theoretical physics, the t Hooft–Polyakov monopole is a topological soliton similar to the Dirac monopole but without the Dirac string. It arises in the case of a Yang–Mills theory with a gauge group G, coupled to a Higgs field whi ...
, analogous to Dirac monopole, but without singularities * Wu–Yang monopole, a monopole solution of Yang-Mills equations {{disambiguation