... G-Higgsbundles was developed, allow- ing for proving a Hitchin–Kobayashi correspondence between polystable G-Higgsbundles and solutions to certain gauge theoretic equations known as Hitchin ...
... a direct sum of stable G i -Higgsbundles where G i = U ∗ (2n i ), Sp(2n i ), GL(n i , C) or U(n i ). Now, for the groups Sp(n i ) or U(n i ) it is clear that the local minima of f on the corresponding ...
... vector bundles on algebraic surfaces; see, ...a Higgs bundle (E, ϕ) with vanishing H 2 (C • (E, ϕ)), this being the only case we shall ...G-Higgsbundles parametrized by U which restricts to ...
... zero Higgs field. Then we show that stable and non-simple Sp(2p, 2q)-Higgsbundles are always given by no-trivial direct sums of stable and simple Sp(2p, 2q)-Higgs ...zero Higgs field. ...
... G-Higgsbundles, given by multiplication of the Higgs field, and show (Proposition ...G-Higgsbundles whose underlying H C -bundle is unstable and we show existence of these obstructions ...
... Abstract. We give necessary and sufficient conditions for moduli spaces of semistable chains on a curve to be irreducible and non-empty. This gives in- formation on the irreducible components of the nilpotent cone of GL ...
... G-Higgsbundles with G a real Lie group goes back to Hitchin’s seminal papers [23, 24] in which split real forms were ...G-Higgsbundles for many other real forms have been ...Hitchin. ...
... vector bundles with extra structure on a Riemann surface X have been intensively studied over the last ...decades. Higgsbundles constitute an important exam- ple, not least due to the non-abelian ...
... parabolic Higgsbundles is in many ways analogous to that of usual Higgs ...bolic Higgsbundles have subsequently been studied by many authors; we merely point to Boden–Yokogawa [9] and ...
... principal bundles over projective ...vector bundles, that is, tuples consisting of vector bundles together with sections of associated ...quadric bundles over compact Riemann surfaces, whose ...
... -action given by multiplying the Higgs field by scalars. In rank 2 this stratification coincides with the Shatz stratification, which is given by the Harder–Narasimhan type of the vector bundle underlying a ...
... Given a real reductive Lie group G, the count of the connected components of the moduli spaces M(G) of G-Higgsbundles over a compact Riemann surface X of genus g > 2, has been a subject of intense study ...
... Parabolic bundles arose as one of two ways to generalize the Narasimhan-Seshadri theorem ([14], [12]), the other being Higgsbundles ([9], ...parabolic bundles with divisor D, parabolic degree ...
... rank Higgsbundles, knowledge of the moduli of chains becomes in itself difficult to come by, and a successful strategy for this has been to study the variation of the moduli of chains under changes in the ...
... Abstract. A very long-standing problem in Algebraic Geometry is to deter- mine the stability of exceptional vector bundles on smooth projective varieties. In this paper we address this problem and we prove that ...
... Little Higgs (LH) model [3], which can solve the hierar- chy problem was ...the Higgs is a pseudo-Goldstone boson whose mass is protected by a global symmetry and, unlike supersymmetry, quadratic divergence ...
... Abstract. We extend a theorem of Ottaviani on cohomological splitting criterion for vector bundles over the Grassmannian to the case of the symplectic isotropic Grassmanian. We find nec- essary and sufficient ...
... To assure the immunity of cable-wired communication sys- tems to external electromagnetic influences, one needs to know the disturbances coupled into the connecting cables to carry out an evaluation at the inputs of the ...
... os bundles para prevenção da PAVM, conjunto de práticas baseadas em evidências, são necessários vários cuidados para que o paciente não adquira PAVM como: higienização das mãos, aspiração orotraqueal e subglótica ...
... É estudado o decaimento do ix~ em dois diferentes modelos com simetrias de gauge SU{?>)c ® SU{3)l <S>U{1)n- Estes modelos coincidem com o modelo padrão a baixas energias, prev[r] ...