Results 61 to 70 of about 804 (189)
On the positivity and integrality of coefficients of mirror maps
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract We present natural conjectural generalisations of the ‘positivity and integrality of mirror maps’ phenomenon, encompassing the mirror maps appearing in the Batyrev–Borisov construction of mirror Calabi–Yau complete intersections in Fano toric varieties as a special case.
Sophie Bleau, Nick Sheridan
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The Gribov problem in presence of background field for SU(2) Yang–Mills theory
Physics Letters B, 2016 The Gribov problem in the presence of a background field is analyzed: in particular, we study the Gribov copies equation in the Landau–De Witt gauge as well as the semi-classical Gribov gap equation.
Fabrizio Canfora +2 more
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Kitaoka's conjecture and sums of squares
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract We connect the existence of a ternary classical universal quadratic form over a totally real number field K$K$ with the property that all totally positive multiples of 2 are sums of squares (if K$K$ does not contain 2$\sqrt{2}$ or contains a nonsquare totally positive unit).
Vítězslav Kala +2 more
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DARBOUX-INTEGRABLE EQUATIONS WITH NON-ABELIAN NONLINEARITIES
Probing the Structure of Quantum Mechanics, 2002 We introduce a new class of nonlinear equations admitting a representation in terms of Darboux-covariant compatibility conditions. Their special cases are, in particular, (i) the "general" von Neumann equation $i\dotρ=[H,f(ρ)]$, with $[f(ρ),ρ]=0$, (ii) its generalization involving certain functions $f(ρ)$ which are non-Abelian in the sense that $[f(ρ ...
Ustinov, N.v., Czachor, Marek
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On Nielsen equivalence classes of two‐element generators of mapping class groups
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract We show that there are infinitely many Nielsen equivalence classes of the mapping class group of a closed oriented surface of genus at least eight.
Susumu Hirose, Naoyuki Monden
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Hodge dualities on supermanifolds
Nuclear Physics B, 2015 We discuss the cohomology of superforms and integral forms from a new perspective based on a recently proposed Hodge dual operator. We show how the superspace constraints (a.k.a.
L. Castellani, R. Catenacci, P.A. Grassi
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Totally elliptic surface group representations
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract A surface group representation into a Lie group is totally elliptic if every simple closed curve on the surface is mapped to an elliptic element. In this note, we characterize all totally elliptic surface group representations into PSL2R$\operatorname{PSL}_2 \mathbb {R}$ and PSL2C$\operatorname{PSL}_2\mathbb {C}$ by showing that they are ...
Arnaud Maret
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A note on: “Abelian integrals and bifurcation theory”
Journal of Differential Equations, 1985 The uniqueness of limit cycles for the vector-field \[ \dot x=x^ q(\lambda x+Bxy+\epsilon x^ 3),\quad \dot y=x^ q(1/4-x^ 2-y^ 2), \] where \(\epsilon\), \(\lambda\) are small real parameters and B is a positive number is considered. It is proved that the uniqueness result holds for all positive B and therefore no restrictions on B has to be made.
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A trace–path integral formula over function fields
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We show that an arithmetic path integral over the ℓ$\ell$‐torsion of a Jacobian J[ℓ]$J[\ell]$ is equal to the trace of the Frobenius action on a representation of the Heisenberg group H(J[ℓ])$H(J[\ell])$, up to an explicitly determined sign.
Yan Yau Cheng
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Petrov modules and zeros of Abelian integrals
Bulletin des Sciences Mathématiques, 1998 The main results in this paper are the following theorems. Theorem 1.1: Let \(f\in \mathbb{C}[x,y]\) be a semiweighted homogeneous polynomial of type \((w_x,w_y;d)\). The \(\mathbb{C}[t]\) module \({\mathcal P}_f\) (Petrov module) is free and finitely generated by \(\mu\) one-forms \(w_1, \dots,w_\mu\), where \(\mu =(d-w_x) (d-w_y)/w_xw_y\).
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