We explain an elementary, topological construction of the Springerrepresentation on the homology of (topological) Springer fibers of types C andD in the case of nilpotent endomorphisms with two Jordan blocks. The Weyl groupaction and the component group action admit a diagrammatic description in termsof cup diagrams appearing in the context of Khovanov arc algebras of types Band D. We determine the decomposition of the representations into irreduciblesand relate our construction to classical Springer theory. In addition to thatwe give a presentation of the cohomology ring of the two-block Springer fibersin types C and D.
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