COMPOSITIO MATHEMATICA Page 1 COMPOSITIO MATHEMATICA FOUNDATION
COMPOSITIO MATHEMATICA Trihyperkähler reduction and instanton bundles on CP3 …

We study the relation between Donaldson–Thomas theory of Calabi–Yau threefolds and a
six-dimensional topological Yang–Mills theory. Our main example is the topological U (N) …

We study a class of torsion-free sheaves on complex projective spaces which generalize the
much studied mathematical instanton bundles. Instanton sheaves can be obtained as …

Let ${\mathcal I}(n) $ denote the moduli space of rank $2 $ instanton bundles of charge $ n $
on ${\mathbb P}^ 3$. We know from several authors that ${\mathcal I}(n) $ is an irreducible …

We present a construction of framed torsion free instanton sheaves on a projective variety
containing a fixed line which further generalises the one on projective spaces. This is done …

We provide a description of the moduli space of framed autodual instanton bundles on
projective space, focusing on the particular cases of symplectic and orthogonal instantons …

We study the full set of solutions to the ADHM equation as an affine algebraic set, the ADHM
variety. We determine a filtration of the ADHM variety into subvarieties according to the …

We show that the moduli space M of framed instanton bundles on CP 3 is isomorphic (as a
complex manifold) to a subvariety in the moduli of rational curves of the twistor space of the …

We extend quaternion calculation in the ADHM construction of S p (1)(= SU (2)) self-dual
Yang–Mills (SDYM) instantons to the case of biquaternion. We use the biconjugate …

We represent algebraic curves via commuting matrix polynomials. This allows us to show
that the Hilbert scheme of cohomologically stable non‐planar curves of genus 0 and degree …