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Thin instantons in G_2-manifolds and Seiberg-Witten invariants
G_2-manifolds and Seiberg-Witten invariants Differential Geometry
2011/9/1
Abstract: For two nearby disjoint coassociative submanifolds C and C' in a G_2-manifold, we construct thin instantons with boundaries lying on C and C' from regular J-holomorphic curves in C. We expla...
The Resurgence of Instantons in String Theory
Instantons Resurgent Analysis Topological and Minimal Strings Matrix Models
2011/7/7
Nonperturbative effects in string theory are usually associated to D-branes. In many cases it can be explicitly shown that D-brane instantons control the large-order behavior of string perturbation th...
Instantons, Quivers and Noncommutative Donaldson-Thomas Theory
Instantons Quivers Noncommutative Donaldson-Thomas Theory
2011/3/2
We construct noncommutative Donaldson{Thomas invariants associated with abelian orbifold
singularities by analysing the instanton contributions to a six-dimensional topological gauge
theory.
We study instanton partition functions for N = 2 superconformal Sp(1) and SO(4) gauge theories. We find that they agree with the corresponding U(2) instanton partitions functions only after a non-triv...
Instantons, concordance, and Whitehead doubling
knot concordance Chern-Simons instanton Whitehead double
2010/12/14
We use moduli spaces of instantons and Chern-Simons invariants of flat connections to prove that the Whitehead doubles of (2, 2n − 1) torus knots are independent in the smooth knot concordance g...
Chern-Simons invariants, SO(3) instantons, and Z/2-homology cobordism
Chern-Simons invariants SO(3) instantons Z/2-homology cobordism
2010/12/14
We review the SO(3) instanton gauge theory of Fintushel and Stern and recast it in the context of 4-manifolds with cylindrical ends. Appli-cations to the Z/2 homology cobordism group of Z/2 homology 3...