Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-block Springer fibers of types C and D: a diagrammatic approach to
  Springer theory   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 actions admit a diagrammatic description in terms of cup
diagrams which appear in the definition of arc algebras of types B and D. We
determine the decomposition of the representations into irreducibles and relate
our construction to classical Springer theory. As an application we obtain
presentations of the cohomology rings of all two-block Springer fibers of types
C and D. Moreover, we deduce explicit isomorphisms between the Kazhdan-Lusztig
cell modules attached to the induced trivial module and the irreducible Specht
modules in types C and D.

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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
1
The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph