... G-**Higgs** **bundles** was developed, allow- ing for proving a Hitchin–Kobayashi correspondence between polystable G-**Higgs** **bundles** and solutions to certain gauge theoretic equations known as Hitchin ...

... a direct sum of stable G i -**Higgs** **bundles** 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-**Higgs** **bundles** parametrized by U which restricts to ...

... zero **Higgs** field. Then we show that stable and non-simple Sp(2p, 2q)-**Higgs** **bundles** are always given by no-trivial direct sums of stable and simple Sp(2p, 2q)-**Higgs** ...zero **Higgs** field. ...

... G-**Higgs** **bundles**, given by multiplication of the **Higgs** ﬁeld, and show (Proposition ...G-**Higgs** **bundles** 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-**Higgs** **bundles** with G a real Lie group goes back to Hitchin’s seminal papers [23, 24] in which split real forms were ...G-**Higgs** **bundles** 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. **Higgs** **bundles** constitute an important exam- ple, not least due to the non-abelian ...

... parabolic **Higgs** **bundles** is in many ways analogous to that of usual **Higgs** ...bolic **Higgs** **bundles** 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-**Higgs** **bundles** 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 **Higgs** **bundles** ([9], ...parabolic **bundles** with divisor D, parabolic degree ...

... rank **Higgs** **bundles**, 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] ...