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Description
Title: | Direct Computation of the Degree 4 Gopakumar -Vafa Invariant on a Calabi -Yau 3 -Fold |
Author(s): | Sahin, Mehmet |
Doctoral Committee Chair(s): | William Haboush |
Department / Program: | Mathematics |
Discipline: | Mathematics |
Degree Granting Institution: | University of Illinois at Urbana-Champaign |
Degree: | Ph.D. |
Genre: | Dissertation |
Subject(s): | Physics, Theory |
Abstract: | In this work we compute the topological Euler characteristic of the 17-dimensional moduli space of stable sheaves of Hilbert polynomial 4n + 1 on P2 to be 192, using tools of algebraic geometry. This Euler characteristic is equal up to sign to the degree 4 BPS (Gopakumar-Vafa) invariant of local P 2, a (noncompact) Calabi-Yau 3-fold. This is a new result verifying an instance of conjecture motivated by physics. |
Issue Date: | 2009 |
Type: | Text |
Language: | English |
Description: | 49 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009. |
URI: | http://hdl.handle.net/2142/86926 |
Other Identifier(s): | (MiAaPQ)AAI3380526 |
Date Available in IDEALS: | 2015-09-28 |
Date Deposited: | 2009 |
This item appears in the following Collection(s)
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Dissertations and Theses - Mathematics
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Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois