Direct Computation of the Degree 4 Gopakumar -Vafa Invariant on a Calabi -Yau 3 -Fold

Sahin, Mehmet

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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