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Author ORCID Identifier
N/A
AccessType
Open Access Dissertation
Document Type
dissertation
Degree Name
Doctor of Philosophy (PhD)
Degree Program
Mathematics
Year Degree Awarded
2016
Month Degree Awarded
February
First Advisor
Alexei Oblomkov
Subject Categories
Algebraic Geometry
Abstract
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.
DOI
https://doi.org/10.7275/7932409.0
Recommended Citation
Wilson, Tobias, "Topology of the Affine Springer Fiber in Type A" (2016). Doctoral Dissertations. 610.
https://doi.org/10.7275/7932409.0
https://scholarworks.umass.edu/dissertations_2/610