期刊： SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2021; 17 ()
After some background on lattices, the locality framework introduced in earlier work by the authors is extended to cover posets and lattices. We then ......
期刊： SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2021; 17 ()
The Pfaffian-Grassmannian correspondence relates certain pairs of derived equivalent non-birational Calabi-Yau 3-folds. Given such a pair, I construct......
期刊： SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2020; 16 ()
We give more precise statements of Fock-Goncharov duality conjecture for cluster varieties parametrizing SL2/PGL(2)-local systems on the once puncture......
期刊： SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2020; 16 ()
Let (M, g(TM)) be a noncompact complete spin Riemannian manifold of even dimension n, with k(TM) denote the associated scalar curvature. Let f : M -&g......
期刊： SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2020; 16 ()
This paper is a survey aimed on the introduction of non-Abelian Hodge theory that gives the correspondence between flat bundles and Higgs bundles. We ......
期刊： SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2020; 16 ()
In this short note, we formulate three problems relating to nonnegative scalar curvature (NNSC) fill-ins. Loosely speaking, the first two problems foc......
期刊： SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2020; 16 ()
Following the approach of Ding and Frenkel [Comm. Math. Phys. 156 (1993), 277-300] for type A, we showed in our previous work [J. Math. Phys. 61 (2020......
期刊： SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2020; 16 ()
Let Lambda(r)(n) be the path algebra of the linearly oriented quiver of type A with n vertices modulo the r-th power of the radical, and let (Lambda) ......
期刊： SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2020; 16 ()
We compute orbi-disk invariants of compact Gorenstein semi-Fano toric orbifolds by extending the method used for toric Calabi-Yau orbifolds. As a cons......
期刊： SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2020; 16 ()
In this paper an approach to generate multi-dimensionally consistent N-component systems is proposed. The approach starts from scalar multi-dimensiona......
期刊： SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2020; 16 ()
In this paper we establish uniqueness theorems for the noncommutative residue and the canonical trace on pseudodifferential operators on noncommutativ......
期刊： SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2020; 16 ()
Gromov asked if the bi-invariant metrics on a compact Lie group are extremal compared to any other metrics. In this note, we prove that the bi-invaria......
期刊： SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2020; 16 ()
In this paper, we study the differential invariants and the invariant heat flow in centro-affine geometry, proving that the latter is equivalent to th......
期刊： SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2020; 16 ()
We develop and prove the analogs of some results shown in [Berenstein A., Fomin S., Zelevinsky A., Duke Math. J. 126 (2005), 1{52] concerning lower an......
期刊： SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2020; 16 ()
The spaces of quasi-invariant polynomials were introduced by Chalykh and Veselov [Comm. Math. Phys. 126 (1990), 597-611]. Their Hilbert series over fi......
