Frobenius manifold information

space. The concept generalizes the notion of Frobenius algebra to tangent bundles. Frobenius manifolds occur naturally in the subject of symplectic topology...

product Frobenius norm Frobenius manifold Frobenius matrix Frobenius method Frobenius normal form Frobenius polynomial Frobenius pseudoprime Frobenius reciprocity...

objects in modern mathematical physics, known as Frobenius manifolds. Ferdinand Georg Frobenius was born on 26 October 1849 in Charlottenburg, a suburb...

duality theories. Frobenius algebras began to be studied in the 1930s by Richard Brauer and Cecil Nesbitt and were named after Georg Frobenius. Tadashi Nakayama...

tangent to a codimension one foliation on the manifold, whose equivalence is the content of the Frobenius theorem. Contact geometry is in many ways an...

Poisson manifold is a smooth manifold endowed with a Poisson structure. The notion of Poisson manifold generalises that of symplectic manifold, which in...

almost complex manifold is a smooth manifold equipped with a smooth linear complex structure on each tangent space. Every complex manifold is an almost...

+\omega \wedge \omega =0.} After an application of the Frobenius theorem, one concludes that a manifold M is locally flat if and only if its curvature vanishes...

of multivariable calculus topics Manifold Differentiable manifold Smooth manifold Banach manifold Fréchet manifold Tensor analysis Tangent vector Tangent...

20..183M. doi:10.1070/RM1965v020n06ABEH001192. S2CID 250895773. Frobenius manifolds, quantum cohomology, and moduli spaces. American Mathematical Society...

one associates its Frobenius tensor S 2 P ↦ T M / P {\displaystyle S^{2}P\mapsto TM/P} (since P is odd, the skew-symmetric Frobenius tensor is a symmetric...

,\rangle } and the Dubrovin connection give U the structure of a Frobenius manifold. Any a in U defines a quantum cup product ∗ a : H ⊗ H → H {\displaystyle...

et variétés de Frobenius, EDP Sciences, 2002, ISBN 2-86883-534-1 English translation : Isomonodromic Deformations and Frobenius Manifolds, Springer Verlag...

systems, the idea of stable and unstable sets or stable and unstable manifolds give a formal mathematical definition to the general notions embodied...

theory. In mirror symmetry, he is a co-author of construction of Frobenius manifold, mirror symmetric to genus zero Gromov–Witten invariants. He is one...

that is also a differentiable manifold, such that group multiplication and taking inverses are both differentiable. A manifold is a space that locally resembles...

Birkhäuser, 1999. ISBN 0817638989 2010 – Yuri I. Manin for his Frobenius Manifolds, Quantum Cohomology, and Moduli Spaces, American Mathematical Society...

connection to "flat structures" (now called "Saito Frobenius manifolds"), mirror symmetry, Frobenius manifolds, and Gromov–Witten theory in algebraic geometry...

example, Sylow's theorem was reproven by Frobenius in 1887 directly from the laws of a finite group, although Frobenius remarked that the theorem followed from...

mathematics, a submanifold of a manifold M {\displaystyle M} is a subset S {\displaystyle S} which itself has the structure of a manifold, and for which the inclusion...

then one says that U {\displaystyle U} is an involutive distribution. Frobenius theorem (differential topology) – On finding a maximal set of solutions...

the word "manifold" already has a different definition. I tried "foldamani", which was quickly displaced by the suggestion of "manifolded". After two...

unique either, but its Frobenius norm is uniquely determined by A (just because the Frobenius norm of A is equal to the Frobenius norm of U = D + N). It...

correspond to Frobenius algebras. Furthermore, we can consider simultaneously 4-dimensional, 3-dimensional and 2-dimensional manifolds related by the...

moduli space of pointed curves, the tensor product in the theory of Frobenius manifolds and the explicit Künneth formula in quantum cohomology". He remained...