output
20172025
most citedFormal Bott-Thurston cocycle and part of a formal Riemann-Roch theorem

5 citations

8 papers

math.DS2025

Upper Bound for Permanent Saturation of Metric Graphs using Interval Exchange Transformations

Egor Ermolaev, Vsevolod Chernyshev, Alexandra Skripchenko

We study upper bounds for the moment of permanent -saturation in finite metric graphs. The dynamics is generated by moving points travelling with unit speed along edge…

hep-th2025

RNS superstring measure for genus 3

Petr Dunin-Barkowski, Igor Fedorov, Alexey Sleptsov

We propose a new formula for the RNS supersting measure for genus 3. Our derivation is based on invariant theory. We follow Witten's idea of using an algebraic parametrization of t…

quant-ph2025★ 1 cited

Nonviolation of the CHSH inequality under local spin-1 measurements on two spin qutrits

Louis Hanotel, Elena R. Loubenets

In the present paper, based on the general analytical expression [arXiv:2412.03470] for the maximum of the CHSH expectation under local Alice and Bob spin- measurements in a two…

math.AG2025

Weighted Grassmannians and their explicit description

Mikhail Ovcharenko

We propose an explicit construction of a weighted generalised Grassmannian. For a weighted Grassmannian (i.e., for series A) we obtain an effective parametrisation of possible $\ma…

quant-ph2024

High-spin measurements in an arbitrary two-qudit state

Elena R. Loubenets, Louis Hanotel

Violation of the CHSH inequality by a bipartite quantum state is now used in many quantum applications. However, the explicit analytical expression for the maximal value of the CHS…

math.AG2023★ 2 cited

Modularity of Landau-Ginzburg models

Charles Doran, Andrew Harder, Ludmil Katzarkov +2

For each Fano threefold, we construct a family of Landau-Ginzburg models which satisfy many expectations coming from different aspects of mirror symmetry; they are log Calabi-Yau v…

math.AG2022★ 5 cited

Formal Bott-Thurston cocycle and part of a formal Riemann-Roch theorem

D. V. Osipov

The Bott-Thurston cocycle is a -cocycle on the group of orientation-preserving diffeomorphisms of the circle. We introduce and study a formal analog of Bott-Thurston cocycle. Th…

math.CO2017

Tilings of the plane with unit area triangles of bounded diameter

Andrey Kupavskii, János Pach, Gábor Tardos

There exist tilings of the plane with pairwise noncongruent triangles of equal area and bounded perimeter. Analogously, there exist tilings with triangles of equal perimeter, the a…