In mathematics, and especially gauge theory, Donaldson theory is the study of the topology of smooth 4-manifolds using moduli spaces of anti-self-dual instantons. It was started by Simon Donaldson (1983) who proved Donaldson's theorem restricting the possible quadratic forms on the second cohomology group of a compact simply connected 4-manifold. Important consequences of this theorem include the existence of an Exotic R4 and the failure of the smooth h-cobordism theorem in 4 dimensions. The results of Donaldson theory depend therefore on the manifold having a differential structure, and are largely false for topological 4-manifolds.
Many of the theorems in Donaldson theory can now be proved more easily using Seiberg–Witten theory, though there are a number of open problems remaining in Donaldson theory, such as the Witten conjecture and the Atiyah–Floer conjecture.
In mathematics, and especially gauge theory, Donaldsontheory is the study of the topology of smooth 4-manifolds using moduli spaces of anti-self-dual...
topology of smooth (differentiable) four-dimensional manifolds, Donaldson–Thomas theory, and his contributions to Kähler geometry. He is currently a permanent...
things, knot theory and the theory of four-manifolds in algebraic topology, and to the theory of moduli spaces in algebraic geometry. Donaldson, Jones, Witten...
evidence were all cited by Donaldson as proof of the missile-attack scenario. Donaldson acknowledged James Sanders' theory of an accidental shoot-down...
James Stephen "Jimmy" Donaldson (born May 7, 1998), better known by his online alias MrBeast, is an American YouTuber, online personality, entrepreneur...
scholarly works on the topic of stakeholder theory that exemplify research and theorizing in this area include Donaldson and Preston (1995), Mitchell, Agle, and...
Nigel Hitchin, Simon Donaldson, and Edward Witten. Together with Hirzebruch, he laid the foundations for topological K-theory, an important tool in algebraic...
operation of pointwise multiplication), and is used in quantum field theory and Donaldsontheory. If the manifold is a circle these are called loop groups, and...
Political Theory of Animal Rights, co-written with Will Kymlicka, in 2011. In this book, as well as their other co-authored work on animal ethics, Donaldson and...
absolute gradings. This is a three-manifold invariant connected to Donaldsontheory introduced by Floer himself. It is obtained using the Chern–Simons...
F. D., & Donaldson, L. (1997). Toward a stewardship theory of management. Academy of Management Review, 22(1), 20-47. "The stewardship theory - Presidential...
\nu }=A_{\mu ,\nu }-A_{\nu ,\mu }+[A_{\mu },\,A_{\nu }]} Instantons, Donaldsontheory, QFT Yukawa 1+n i ∂ t u + Δ u = − A u , ◻ A = m 2 A + | u | 2 {\displaystyle...
lower value to the new equity issuance. Pecking order theory was first suggested by Donaldson in 1961 and it was modified by Stewart C. Myers and Nicolas...
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...
Caldwell Donaldson (or Salter; 16 June 1926 – 16 September 2020) was a professor of developmental psychology at the University of Edinburgh. Donaldson was...
in fresh geometric ideas, concepts from quantum field theory, and heavy use of category theory. Participants in the first phase of axiomatization were...
cosmology. The model has undergone a recent resurgence as a conspiracy theory. The idea of a spherical Earth appeared in ancient Greek philosophy with...
commonly called domains. Donaldsontheory the study of smooth 4-manifolds using gauge theory. Dyadic algebra Dynamical systems theory an area used to describe...
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