Komori, Yasushi Matsumoto, Kohji Tsumura, Hirofumi
Published in
Forum Mathematicum

We consider certain double series of Eisenstein type involving hyperbolic-sine functions. We define certain generalized Hurwitz numbers, in terms of which we evaluate those double series. Our main results can be regarded as a certain generalization of well-known results of Hurwitz, Herglotz, Katayama and so on. Our results also include recent formu...

Miao, Changxing Wu, Yifei Xu, Guixiang
Published in
Forum Mathematicum

By Li, Miao and Zhang (2009) and Miao, Xu and Zhao (2009), the dynamics of the solutions for the focusing energy-critical Hartree equation have been classified when E(u0)

Cynk, Sławomir Rams, Sławomir
Published in
Forum Mathematicum

We study the geometry of the birational map between an intersection of a web of quadrics in ℙ7 that contain a plane and the double octic branched along the discriminant of the web.

Chorny, Boris Scherer, Jérôme
Published in
Forum Mathematicum

We prove that iterated Whitehead products of length (n + 1) vanish in any value of an n-excisive functor in the sense of Goodwillie. We compare then different notions of homotopy nilpotency, from the Berstein–Ganea definition to the Biedermann–Dwyer one. The latter is strongly related to Goodwillie calculus and we analyze the vanishing of iterated ...

Dolinka, Igor
Published in
Forum Mathematicum

Based on an idea of Y. Péresse and some results of Maltcev, Mitchell and Ruškuc, we present sufficient conditions under which the endomorphism monoid of a countably infinite ultrahomogeneous first-order structure has the Bergman property. This property has played a prominent role both in the theory of infinite permutation groups and, more recently,...

Muro, Fernando Tonks, Andrew
Published in
Forum Mathematicum

We construct a topological cellular operad such that the algebras over its cellular chains are the homotopy unital A-infinity algebras of Fukaya–Oh–Ohta–Ono.

Putcha, Mohan S.
Published in
Forum Mathematicum

Let M be a reductive monoid. If e is an idempotent in M, we prove that the centralizer M(e) of e in M is a regular monoid with a finite graded poset of 𝒥$\mathcal {J}$ -classes. We compute this poset explicitly when M is of canonical or dual canonical type and e is the relevant pivotal idempotent.

Funar, Louis Kohno, Toshitake
Published in
Forum Mathematicum

We prove that, except for a few explicit roots of unity, the quantum image of any Johnson subgroup of the mapping class group contains an explicit free non-abelian subgroup.

Seeliger, Nora
Published in
Forum Mathematicum

In his Inventiones paper, Ziller (1977) computed the integral homology as a graded abelian group of the free loop space of compact, globally symmetric spaces of rank 1. Chas and Sullivan (1999) showed that the homology of the free loop space of a compact closed orientable manifold can be equipped with a loop product and a BV-operator making it a Ba...

Tang, Lin
Published in
Forum Mathematicum

The Dirichlet and Neumann problems of heat equation with certain potentials of the form ∂ t -Δ+V=0$\partial _t-\Delta +V=0$ in Lipschitz cylinders are studied, where V is a nonnegative potential satisfying certain conditions.