Nekrasov's Partition Function and Refined Donaldson-Thomas Theory: the Rank One Case

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Nekrasov’s Partition Function and Refined Donaldson–Thomas Theory: the Rank One Case

This paper studies geometric engineering, in the simplest possible case of rank one (Abelian) gauge theory on the affine plane and the resolved conifold. We recall the identification between Nekrasov’s partition function and a version of refined Donaldson– Thomas theory, and study the relationship between the underlying vector spaces. Using a purity result, we identify the vector space underlyi...

متن کامل

The Local Donaldson-thomas Theory of Curves

The local Donaldson-Thomas theory of curves is solved by localization and degeneration methods. The results complete a triangle of equivalences relating Gromov-Witten theory, Donaldson-Thomas theory, and the quantum cohomology of the Hilbert scheme of points of the plane.

متن کامل

Refined open noncommutative Donaldson-Thomas invariants for small crepant resolutions

The aim of this paper is to study analogs of noncommutative DonaldsonThomas invariants corresponding to the refined topological vertex for small crepant resolutions of toric Calabi-Yau 3-folds. We define the invariants using dimer models and provide “wall-crossing” formulas. In particular, we get normalized generating functions which are unchanged under “wall-crossing”. Introduction Donaldson-T...

متن کامل

Non-commutative Donaldson–Thomas theory and the conifold

Given a quiver algebra A with relations defined by a superpotential, this paper defines a set of invariants of A counting framed cyclic A-modules, analogous to rank-1 Donaldson–Thomas invariants of Calabi–Yau threefolds. For the special case when A is the non-commutative crepant resolution of the threefold ordinary double point, it is proved using torus localization that the invariants count ce...

متن کامل

3 - manifold topology and the Donaldson - Witten partition function

We consider Donaldson-Witten theory on four-manifolds of the form X = Y ×S 1 where Y is a compact three-manifold. We show that there are interesting relations between the four-dimensional Donaldson invariants of X and certain topological invariants of Y. In particular, we reinterpret a result of Meng-Taubes relating the Seiberg-Witten invariants to Reidemeister-Milnor torsion. If b 1 (Y) > 1 we...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Symmetry, Integrability and Geometry: Methods and Applications

سال: 2012

ISSN: 1815-0659

DOI: 10.3842/sigma.2012.088