Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Wilbert, Arik"'
We study the geometry and topology of $\Delta$-Springer varieties associated with two-row partitions. These varieties were introduced in recent work by Griffin-Levinson-Woo to give a geometric realization of a symmetric function appearing in the Delt
Externí odkaz:
http://arxiv.org/abs/2407.10792
We give an explicit description of the irreducible components of two-row Springer fibers for all classical types using cup diagrams. Cup diagrams can be used to label the irreducible components of two-row Springer fibers. Given a cup diagram, we expl
Externí odkaz:
http://arxiv.org/abs/2011.13138
Publikováno v:
J. Algebra 591 (2022), 217-248
It is a remarkable theorem by Maffei--Nakajima that the Slodowy variety, which is a subvariety of the resolution of the nilpotent cone, can be realized as a Nakajima quiver variety of type A. However, the isomorphism is rather implicit as it takes to
Externí odkaz:
http://arxiv.org/abs/2009.08778
We give a topological description of the two-row Springer fiber over the real numbers. We show its cohomology ring coincides with the oddification of the cohomology ring of the complex Springer fiber introduced by Lauda-Russell. We also realize Ozsv\
Externí odkaz:
http://arxiv.org/abs/2003.07297
We give an explicit description of the irreducible components of two-row Springer fibers in type A as closed subvarieties in certain Nakajima quiver varieties in terms of quiver representations. By taking invariants under a variety automorphism, we o
Externí odkaz:
http://arxiv.org/abs/1910.03010
Autor:
Saunders, Neil, Wilbert, Arik
We study the geometry and topology of exotic Springer fibers for orbits corresponding to one-row bipartitions from an explicit, combinatorial point of view. This includes a detailed analysis of the structure of the irreducible components and their in
Externí odkaz:
http://arxiv.org/abs/1810.03731
Publikováno v:
In Journal of Algebra 1 February 2022 591:217-248
Autor:
Stroppel, Catharina, Wilbert, Arik
Publikováno v:
Math. Z. 292 (2019), no. 3-4, 1387-1430
We explain an elementary topological construction of the Springer representation on the homology of (topological) Springer fibers of types C and D in the case of nilpotent endomorphisms with two Jordan blocks. The Weyl group and component group actio
Externí odkaz:
http://arxiv.org/abs/1611.09828
Publikováno v:
Doc. Math. 24, 1585-1655 (2019)
We combinatorially describe the $2$-category of singular cobordisms, called (rank one) foams, which governs the functorial version of Khovanov homology. As an application we topologically realize the type $\mathrm{D}$ arc algebra using this singular
Externí odkaz:
http://arxiv.org/abs/1611.07444
Autor:
Wilbert, Arik
Publikováno v:
Trans. Amer. Math. Soc. 370 (2018), 2707-2737
We construct an explicit topological model (similar to the topological Springer fibers appearing in work of Khovanov and Russell) for every two-row Springer fiber associated with the even orthogonal group and prove that the respective topological mod
Externí odkaz:
http://arxiv.org/abs/1511.01961