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A twisted nonabelian Hodge correspondence.
- Format:
- Book
- Thesis/Dissertation
- Author/Creator:
- Garcia-Raboso, Alberto.
- Language:
- English
- Subjects (All):
- Mathematics.
- Applied mathematics.
- 0364.
- 0405.
- Penn dissertations--Mathematics.
- Mathematics--Penn dissertations.
- Local Subjects:
- Penn dissertations--Mathematics.
- Mathematics--Penn dissertations.
- 0364.
- 0405.
- Physical Description:
- 77 pages
- Contained In:
- Dissertation Abstracts International 75-01B(E).
- System Details:
- Mode of access: World Wide Web.
- text file
- Summary:
- We prove an extension of the nonabelian Hodge theorem in which the underlying objects are twisted torsors over a smooth complex projective variety. On one side of this correspondence the twisted torsors come equipped with an action of a sheaf of twisted differential operators in the sense of Beiˇlinson and Bernstein. On the other, we endow them with appropriately defined twisted Higgs data.
- The proof we present here is completely formal, in the sense that we do not delve into the analysis involved in the classical nonabelian Hodge correspondence. Instead, we use homotopy-theoretic methods, especially the theory of principal infinity-bundles, to reduce our statement to previously known results of Simpson.
- Notes:
- Thesis (Ph.D. in Mathematics) -- University of Pennsylvania, 2013.
- Source: Dissertation Abstracts International, Volume: 75-01(E), Section: B.
- Adviser: Tony Pantev.
- Local Notes:
- School code: 0175.
- ISBN:
- 9781303396106
- Access Restriction:
- Restricted for use by site license.
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