We consider the quantum Teichmüller space of the punctured surface introduced by ChekhovFock-Kashaev, and formalize it as a noncommutative deformation of the space of algebraic functions on the Teichmüller space of the surface. In order to apply it in 3-dimensional topology, we put more attention to the details involving small surfaces. Let S be an oriented surface of finite topological type, w...

since its birth in ancient greece, tragedy as an important dramatic form has always attracted the attention of those who have a tragic sense of life. although many scholars of tragedy put forward a bleak view regarding the possibility for the continuance of tragedy in modern times, two great dramatists, henrik ibsen and anton chekhov, showed that tragedy can still be created in modern times pro...

We analyze Chiodo’s formulas for the Chern classes related to the r -th roots of the suitably twisted integer powers of the canonical class on the moduli space of curves. The intersection numbers of these classes with ψ-classes are reproduced via the Chekhov–Eynard–Orantin topological recursion. As an application, we prove that the Johnson-Pandharipande-Tseng formula for the orbifold Hurwitz nu...

The present article covers the results of comparative analysis short story "Boys" by A. Chekhov and "The Two Captains" V. Kaverin whose protagonists both go same symbolic name Montigomo Hawk Pounce. Similar treaits in images Chechevitsyn Sanya Grigoriyev are singled out, similar for two works motifs escaping reading highlighted, quotational allusions located....

The article discusses the evolution of R. P. Kumov, one largest Don writers Silver Age, perceived by modern critics as "Don Chekhov". This was facilitated lyrical beginning his style, subtle psychologism in depiction characters, for most part people clergy – from a novice to bishop. At career, he openly focuses on plots Chekhov's famous works, uses techniques poetics,...

The essay explores the significance of questions of knowledge to the depiction of prisoners in three prominent katorga narratives from the second half of the nineteenth century: Dostoevskii’s Notes from the House of the Dead, Kennan’s Siberia and the Exile System, and Chekhov’s Sakhalin Island. Comparing the different discourses of unknowability these authors employ, it argues that the relation...

Based on the comparative approach, narrative medicine and pathology diagnostics, article examines personal psychological deviations of characters in Anton Chekhov. The reveals main stages diagnosis interpretation hypochondria, melancholy, timidity from antiquity, where pathological features personality types temperament were associated with balance elements basic fluids human body, to Enlighten...