Related papers: Moufang symmetry VIII. Reconstruction of Moufang l…
We propose a simple derivation of renormalization group equations and Callan-Symanzik equations as decoupling theorems of the structures underlying effective field theories.
This article presents a clear proof of the Riemann Mapping Theorem via Riemann's method, uncompromised by any appeals to topological intuition.
Using a structure theorem from [FG2010] we prove a version of multiple recurrence for sets of positive measure in a general stationary dynamical system.
We prove an interpolation theorem for bounded free holomorphic functions.
We settle the fusion product decomposition theorem for higher-level affine Demazure modules for the cases $E^{(1)}_{6, 7, 8}, F^{(1)}_4$ and $E^{(2)}_{6}$, thus completing the main theorems of Chari et al. (J. Algebra, 2016) and Kus et al.…
We discuss Nakamaye's Theorem and its recent extension to compact complex manifolds, together with some applications.
We give a new analytical proof of the Morse index theorem for geodesics in Riemannian manifolds.
We prove various reconstruction theorems about open subsets of normed spaces. E.g. if the uniformly continuous homeomorphism groups of two such sets are isomorphic, then this isomorphism is induced by a uniformly continuous homeomorphism…
An introduction and overview of constructive reverse mathematics.
We prove that Floer cohomology of cyclic Lagrangian correspondences is invariant under transverse and embedded composition of Lagrangians under a general set of assumptions. In the Corrigendum, we introduce an additional assumption of…
We will present a new proof of the Gromoll-Grove diameter rigidity theorem.
This paper can be considered as an extension to our paper [On symplectically harmonic forms on six-dimensional nilmanifolds, Comment. Math. Helv. 76 (2001), n 1, 89-109]. Also, it contains a brief survey of recent results on symplectically…
We prove several congruences for trinomial coefficients.
Recent results on curve reconstruction are described.
We prove that a necessary condition for the existence of the remaining problem in the harmonic Hopf construction is also sufficient. We also give some topological applications based on our result.
Iterated loop algebras are by definition obtained by repeatedly applying the loop construction, familiar from the theory of affine Kac-Moody Lie algebras, to a given base algebra. Our interest in this iterated construction is motivated by…
We prove that the orbifold quantum ring is preserved under singular symplectic flops. Hence we verify Ruan's conjecture for this case.
A reconstruction of a function from integrals over the family of confocal paraboloids is given by a FBP formula.
We announce numerous new results in the theory of orthogonal polynomials on the unit circle.
We give some results and conjectures about recurrence relations for certain sequences of binomial sums.