University of Illinois Urbana-Champaign

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

Sahin, Mehmet

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https://hdl.handle.net/2142/86926

Description

Title
Direct Computation of the Degree 4 Gopakumar -Vafa Invariant on a Calabi -Yau 3 -Fold
Author(s)
Sahin, Mehmet
Issue Date
2009
Doctoral Committee Chair(s)
William Haboush
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Physics, Theory
Language
eng
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.
Graduation Semester
2009
Type of Resource
text
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http://hdl.handle.net/2142/86926

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