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Search Results: 1 - 10 of 659 matches for " Kota Yoshioka "
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Euler characteristics of SU(2) instanton moduli spaces on rational elliptic surfaces
Kota Yoshioka
Physics , 1998, DOI: 10.1007/s002200050687
Abstract: Recently, Minahan, Nemeschansky, Vafa and Warner computed partition functions for N=4 topological Yang-Mills theory on rational elliptic surfaces. In particular they computed generating functions of Euler characteristics of SU(2)-instanton moduli spaces. In mathematics, they are expected to coincide with those of Gieseker compactifications. In this paper, we compute Euler characteristics of these spaces and show that our results coincide with theirs. We also check the modular property of Z_{SU(2)} and Z_{SO(3)} conjectured by Vafa and Witten.
Fourier-Mukai transform on abelian surfaces
Kota Yoshioka
Mathematics , 2006,
Abstract: We show that the Fourier-Mukai transfortm on an abelian surface induces a birational map of the moduli space of stablke sheaves.
An action of a Lie algebra on the homology groups of moduli spaces of stable sheaves
Kota Yoshioka
Mathematics , 2006,
Abstract: We construct an action of a Lie algebra on the homology groups of moduli spaces of stable sheaves on K3 surfaces under some technical conditions. This is a generalization of Nakajima's construction of sl_2-action on the homology groups. In particular, for an A,D,E-configulation of (-2)-curves, we shall give a collection of moduli spaces such that the associated Lie algebra acts on their homology groups.
Irreducibility of moduli spaces of vector bundles on K3 surfaces
Kota Yoshioka
Mathematics , 1999,
Abstract: In this paper, we show the moduli spaces of stable sheaves on K3 surfaces are irreducible symplectic manifolds, if the associated Mukai vectors are primitive. More precisely, we show that they are related to the Hilbert scheme of points. We also compute the period of these spaces. As an application of our result, we discuss Montonen-Olive duality in Physics. In particular our computations of Euler characteristics of moduli spaces are compatible with Physical computations by Minahan et al.
Some examples of isomorphisms induced by Fourier-Mukai functors
Kota Yoshioka
Mathematics , 1999,
Abstract: We give some examples of isomorphisms of moduli of sheaves induced by Fourier-Mukai functor. As applications, we give another proof on deformation type of some moduli spaces of sheaves on abelian and K3 surfaces.
Wall crossing of the moduli spaces of perverse coherent sheaves on a blow-up
Kota Yoshioka
Mathematics , 2014,
Abstract: We give a remark on the wall crossing behavior of perverse coherent sheaves on a blow-up and stability condition constructed by Toda. We also explain the wall crossing of twisted stability in terms of stability condition.
An application of exceptional bundles to the moduli of stable sheaves on a K3 surface
Kota Yoshioka
Mathematics , 1997,
Abstract: Let M(v) be the moduli of stable sheaves on K3 surfaces X of Mukai vector v. If v is primitive, than it is expected that M(v) is deformation equivalent to some Hilbert scheme and weight two hogde structure can be described by H^*(X,Z). These are known by Mukai, O'Grady and Huybrechts if rank is 1 or 2, or the first Chern class is primitive. Under some conditions on the dimension of M(v), we shall show that these assertion are true. For the proof, we shall use Huybrechts's results on symplectic manifolds.
Some notes on the moduli of stable sheaves on elliptic surfaces
Kota Yoshioka
Mathematics , 1997,
Abstract: Under some assumptions, we compute the Picard group of moduli of stable sheaves on Abelian surfaces. Considering relative moduli spaces, it is sufficient to consider the moduli of stable sheaves on the product of elliptic curves. By using elementary transformatios (which was used by Friedman to treat rank 2 moduli spaces on elliptic surfaces), we treat this case. We also show that some moduli spaces on P^2 are rational.
Twisted stability and Fourier-Mukai transform
Kota Yoshioka
Mathematics , 2001,
Abstract: In this paper, we consider the preservation of stability by using the notion of Twisted stability. As applications, (1) we show that moduli spaces of vector bundles on K3 and abelian surfaces are irreducible, (2) we compute Hodge polynomials of some moduli spaces of vector bundles on Enriques surfaces and on elliptic surfaces with a section.
A note of moduli of vector bundles on rational surfaces
Kota Yoshioka
Mathematics , 2001,
Abstract: We discuss some relations of moduli of sheaves on rational surfaces by using universal extensions. These are a generalization of Maruyama's method to construct Uhlenbeck compactification of moduli of vector bundles.
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