Zobrazeno 1 - 10
of 7 632
pro vyhledávání: '"Feigin A"'
The Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations have a rich structure related to the theory of Frobenius manifolds, with many known families of solutions. A Legendre transformation is a symmetry of the WDVV equations, introduced by Dubrovin.
Externí odkaz:
http://arxiv.org/abs/2407.20349
Autor:
Feigin, Evgeny
We extend the results on the graph closures of the birational maps between projective spaces and Grassmannians to the case of PBW degenerate flag varieties. The advantage of the PBW degenerate flags (as opposed to their classical analogues) is the ex
Externí odkaz:
http://arxiv.org/abs/2407.07568
The goal of this paper is to extend the quiver Grassmannian description of certain degenerations of Grassmann varieties to the symplectic case. We introduce a symplectic version of quiver Grassmannians studied in our previous papers and prove a numbe
Externí odkaz:
http://arxiv.org/abs/2407.00654
We propose a conjectural correspondence between the spectra of the Bethe algebra for the quantum toroidal $\mathfrak{gl}_2$ algebra on relaxed Verma modules, and $q$-hypergeometric opers with apparent singularities. We introduce alongside the notion
Externí odkaz:
http://arxiv.org/abs/2406.07265
Given its real-time capability to quantify mechanical tissue properties, ultrasound shear wave elastography holds significant promise in clinical musculoskeletal imaging. However, existing shear wave elastography methods fall short in enabling full-l
Externí odkaz:
http://arxiv.org/abs/2406.03962
We revisit the classical Goddard-Kent-Olive coset construction. We find the formulas for the highest weight vectors in coset decomposition and calculate their norms. We also derive formulas for matrix elements of natural vertex operators between thes
Externí odkaz:
http://arxiv.org/abs/2404.14350
We study the closure of the graph of the birational map from a projective space to a Grassmannian. We provide explicit description of the graph closure and compute the fibers of the natural projection to the Grassmannian. We construct embeddings of t
Externí odkaz:
http://arxiv.org/abs/2403.10074
In earlier work of three of the authors of the present paper, a supercommutative quadratic algebra was associated to each symmetric quiver, and a new proof of positivity of motivic Donaldson-Thomas invariants of symmetric quivers was given using the
Externí odkaz:
http://arxiv.org/abs/2402.12768
Originally motivated by connections to integrable systems, two natural subalgebras of the rational Cherednik algebra have been considered in the literature. The first is the subalgebra generated by all degree zero elements and the second is the Dunkl
Externí odkaz:
http://arxiv.org/abs/2312.13957
The main goal of this paper is to categorify the specialized parasymmetric (intermediate) Macdonald polynomials. These polynomials depend on a parabolic subalgebra of a simple Lie algebra and generalize the symmetric and nonsymmetric Macdonald polyno
Externí odkaz:
http://arxiv.org/abs/2311.12673