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20 de jun. de 2024 · By Sir Simon Donaldson Emeritus Professor of Mathematics, Simons Center for Geometry and Physics
Hace 23 horas · Starmer insistió hoy en que los pasados comicios le han otorgado un "claro mandato" para hacer política de una manera diferente y lograr "la necesaria estabilidad".. Referéndum y acuerdo del Viernes Santo . Respecto al asunto de la reunificación de Irlanda a través de una consulta, planteado hoy mismo por el partido Sinn Féin, mayoritario en la región, el primer ministro reafirmó su ...
26 de jun. de 2024 · Donaldson’s theorem states that the intersection form of a compact orientable 4-manifold is diagonalizable. It was proven by Simon Donaldson in 1983 in Donaldson 83 (with additionaly using simple-connectedness) and improved in 1987 in Donaldson 87 (without using simple-connectedness).
Hace 1 día · In 1985, Simon Donaldson showed that, over a nonsingular projective variety of complex dimension two, a holomorphic vector bundle admits a hermitian Yang–Mills connection if and only if the bundle is stable. A result of Yau and Karen Uhlenbeck generalized Donaldson's result to allow a compact Kähler manifold of any dimension.
26 de jun. de 2024 · Yang–Mills theory is a gauge theory on a given 4- dimensional ( pseudo -) Riemannian manifold X X whose field is the Yang–Mills field – a cocycle ∇ ∈ H(X, B¯U(n)) \nabla \in \mathbf {H} (X,\bar \mathbf {B}U (n)) in differential nonabelian cohomology represented by a vector bundle with connection – and whose action functional is.
Hace 5 días · Atiyah's mathematical collaborators included Raoul Bott, Friedrich Hirzebruch and Isadore Singer, and his students included Graeme Segal, Nigel Hitchin, Simon Donaldson, and Edward Witten. Together with Hirzebruch, he laid the foundations for topological K-theory , an important tool in algebraic topology , which, informally speaking, describes ...
28 de jun. de 2024 · A major application of partial differential equations in differential geometry due to Simon Donaldson, in combination with results of Michael Freedman, shows that many simply-connected compact topological 4-manifolds do not admit smooth structures.
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