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Open Access Dissertation
Doctor of Philosophy (PhD)
Year Degree Awarded
Month Degree Awarded
We develop algorithms for describing elements of the affine Springer fiber in type
A for certain 2 g(C[[t]]). For these , which are equivalued, integral, and regular,
it is known that the affine Springer fiber, X, has a paving by affines resulting from
the intersection of Schubert cells with X. Our description of the elements of Xallow
us to understand these affine spaces and write down explicit dimension formulae. We
also explore some closure relations between the affine spaces and begin to describe the
moment map for the both the regular and extended torus action.
Wilson, Tobias, "Topology of the Affine Springer Fiber in Type A" (2016). Doctoral Dissertations. 610.