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self-dual bundle

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  • Hodge dual — In mathematics, the Hodge star operator or Hodge dual is a significant linear map introduced in general by W. V. D. Hodge. It is defined on the exterior algebra of a finite dimensional oriented inner product space. Contents 1 Dimensions and… …   Wikipedia

  • Stable vector bundle — In mathematics, a stable vector bundle is a vector bundle that is stable in the sense of geometric invariant theory. They were defined by harvtxt|Mumford|1963table vector bundles over curvesA bundle W over an algebraic curve (or over a Riemann… …   Wikipedia

  • First class constraint — In Hamiltonian mechanics, consider a symplectic manifold M with a smooth Hamiltonian over it (for field theories, M would be infinite dimensional). Poisson bracketsSuppose we have some constraints : f i(x)=0, for n smooth functions :{ f i } {i=… …   Wikipedia

  • Instanton — An instanton or pseudoparticle is a notion appearing in theoretical and mathematical physics. Mathematically, a Yang Mills instanton is a self dual or anti self dual connection in a principal bundle over a four dimensional Riemannian manifold… …   Wikipedia

  • Semidefinite programming — (SDP) is a subfield of convex optimization concerned with the optimization of a linear objective function over the intersection of the cone of positive semidefinite matrices with an affine space.Semidefinite programming is a relatively new field… …   Wikipedia

  • Seiberg–Witten invariant — In mathematics, Seiberg–Witten invariants are invariants of compact smooth 4 manifolds introduced by harvtxt|Witten|1994, using the Seiberg Witten theory studied by harvs|txt=yes|last=Seiberg|last2=Witten|year1=1994a|year2=1994b during their… …   Wikipedia

  • Michael Atiyah — Sir Michael Atiyah Born 22 April 1929 (1929 04 22) (age 82) …   Wikipedia

  • Positive form — In complex geometry, the term positive form refers to several classes of real differential formsof Hodge type (p, p) . (1,1) forms Real ( p , p ) forms on a complex manifold M are forms which are of type ( p , p ) and real,that is, lie in the… …   Wikipedia

  • Paley graph — infobox graph name = Paley graph image caption = The Paley graph of order 13 namesake = Raymond Paley vertices = edges = chromatic number = chromatic index = properties = Strongly regularIn mathematics, and specifically graph theory, Paley graphs …   Wikipedia

  • Simon Donaldson — Infobox Scientist name = Simon Kirwan Donaldson box width = image width = caption = birth date = birth date and age|1957|08|20 birth place = Cambridge, England death date = death place = residence = citizenship = nationality = flagicon|UK British …   Wikipedia

  • Nauru graph — The Nauru graph is Hamiltonian. Vertices 24 Edges 36 Radius 4 …   Wikipedia

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