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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


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