Twisted spectral data and singular monopoles / Tong Li.

Format:

Book

Manuscript

Thesis/Dissertation

Author/Creator:

Li, Tong, author.

Contributor:

Pantev, Tony, 1963- degree supervisor, degree committee member.

Donagi, Ron, degree committee member.

Block, Jonathan, degree committee member.

University of Pennsylvania. Department of Mathematics, degree granting institution.

Language:

English

Subjects (All):

Penn dissertations--Mathematics.

Mathematics--Penn dissertations.

Local Subjects:

Penn dissertations--Mathematics.

Mathematics--Penn dissertations.

Physical Description:

iv, 36 leaves ; 29 cm

Production:

[Philadelphia, Pennsylvania] : University of Pennsylvania, 2015.

Summary:

We study higher dimensional versions of monopoles with Dirac singularities on manifolds which are principal circle bundles over a smooth complex projective variety. We interpret such generalized monopoles in terms of twisted spectral data on a companion algebraic vareity. We conjecture that this correspondence is bijective under certain stability condition, and thus gives an algebraic construction of singular monopoles.

Notes:

Ph. D. University of Pennsylvania 2015.

Department: Mathematics.

Supervisor: Tony Pantev.

Includes bibliographical references.

OCLC:

951160790