The Chern–Simons theory is a 3-dimensional topological quantum field theory of Schwarz type. It was discovered first by mathematical physicist Albert...

mathematics, infinite-dimensional Chern–Simons theory (not to be confused with ∞-Chern–Simons theory) is a generalization of Chern–Simons theory to manifolds with...

physics, four-dimensional Chern–Simons theory, also known as semi-holomorphic or semi-topological Chern–Simons theory, is a quantum field theory initially...

physics, six-dimensional holomorphic Chern–Simons theory or sometimes holomorphic Chern–Simons theory is a gauge theory on a three-dimensional complex...

portal Chern classes Chern–Gauss–Bonnet theorem Chern–Simons theory Chern–Simons form Chern–Weil theory Chern–Weil homomorphism Chern-Lashof theory Chern-Bott...

6 Jun 2019. Fisher, Matthew P. A. (2004). "Duality in low dimensional quantum field theories". Strong interactions in low dimensions. Physics and Chemistry...

August 2023. José, Jorge (15 November 1976). "Sine-Gordon theory and the classical two-dimensional x − y model". Physical Review D. 14 (10): 2826–2829. Bibcode:1976PhRvD...

regular foliation with one-dimensional leaves (curves), this is called maximally superintegrable. When a finite-dimensional Hamiltonian system is completely...

for the true one-dimensional condensate and λ = 2 {\displaystyle \lambda =2} while using the three dimensional equation in one dimension), two equations...

dimension 2, which have vanishing first integral Chern class but non-trivial canonical bundle. For a compact complex n {\displaystyle n} -dimensional...

2023.170710. Aktosun, Tuncay (2009). "Inverse Scattering Transform and the Theory of Solitons". Encyclopedia of Complexity and Systems Science. Springer....

theory on a D5-brane is known as holomorphic Chern–Simons theory. The Lagrangian density is the wedge product of that of ordinary Chern–Simons theory...

model was later studied in the two-dimensional case as an integrable system, in particular an integrable field theory. Its integrability was shown by Faddeev...

, ω ) {\displaystyle (M^{2n},\omega )} be a 2 n {\displaystyle 2n} -dimensional symplectic manifold with symplectic structure ω {\displaystyle \omega...

a generalization called the smooth four-dimensional Poincaré conjecture—that is, whether a four-dimensional topological sphere can have two or more inequivalent...

equivalent" (i.e. there is a bijection between them that is holomorphic with a holomorphic inverse) to either C {\displaystyle \mathbb {C} } or to the...

limits of results obtained by the QISM can give predictions even for field theories defined on a continuum, such as the quantum sine-Gordon model. The quantum...

lies on the crossroads of algebraic geometry, the theory of Lie algebras and integrable system theory. It also plays an important role in the geometric...

nonpositive first Chern class can be deformed into Kähler–Einstein metrics.[Y78a] Akito Futaki showed that the existence of holomorphic vector fields can...

string theory M {\displaystyle {\mathcal {M}}} is the compact space formed by rolling up the theory's extra dimensions, specifically a six-dimensional Calabi–Yau...

of the n-dimensional ball of radius r in Euclidean n-dimensional space, and the surface area Sn−1(r) of its boundary, the (n−1)-dimensional sphere: V...

Hamiltonian formalism, unlike other master theories like four-dimensional Chern–Simons theory or anti-self-dual Yang–Mills. A great deal is known about the integrable...

manifolds which are three-dimensional with positive Ricci curvature[H82b] or nonnegative Ricci curvature[H86], four-dimensional with positive or nonnegative...

quantum topology, low-dimensional topology; Categorical logic and set theory in the categorical context such as algebraic set theory; Foundations of mathematics...

every Riemannian metric on a 2-dimensional local chart arises from an embedding in 3-dimensional Euclidean space: the theory of geodesics has been used to...