Higgs boson和Higgs bundle之间确实存在一些联系，但它们属于不同的领域。Higgs boson是粒子物理学中的一...
1.3-Higgs Bundle 丁胗 妈妈生的2 人赞同了该文章 1.3.1. 对projective curve X , 我们总采用缩写 BunG:=BunG(X) 。我们的代数群 G 是半单的。 由上次的讨论和Serre对偶,我们有 TP∗(BunG)=(TP(BunG))∗=H1(X,gP)∗=H0(X,KX⊗gP∗), 其中 KX=ΩX1 为dualizing sheaf. 由Killing ...
Rubio, Higgs bundles, Toledo invariant and the Cayley corre- spondence, arXiv:1511.07751v2 [math.DG] (2015), http://arxiv.org/abs/1511.07751.O. Biquard, O. Garcia-Prada and R. Rubio, Higgs bundles, Toledo invariant and the Cayley correspondence, Journal of Topology 10 (2017) 795-826....
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Due to the endomorphism structure, the Higgs bundle decomposes into the direct sum of Higgs subbundles of rank two. They are basically divided into two types: uniformizing type and unitary type. As the first application we obtain the mass formula counting the number of geometric points of the...
For a complex manifold X which has a holomorphic form ϖ of odd degree k , we endow E a=⊕ p≥ a Λ ( p,0)( X) with a Higgs bundle structure θ given by θ( Z)( φ):={ i( Z) ϖ}∧φ . The properties such as curvature and stability of these and other Higgs bundles...
STABLE HIGGS BUNDLES ON RULED SURFACESSemistableHiggs bundlemoduli spacesLet π : X = PC(E) -→ C be a ruled surface over an algebraically closed field k of characteristic 0, with a fixed polarization L on X. In this paper, we show that pullback of a (semi)stable Higgs bundle on C...
We conjecture that a Higgs semistable bundle is indeed strongly Higgs semistable.doi:10.48550/arXiv.1210.8280Guitang LanMao ShengKang ZuoEprint ArxivGuitang Lan, Mao Sheng, Kang Zuo, Semistable Higgs bundles and representations of algebraic fundamental groups: Positive characteristic case, arXiv:...
The Seifert surface is a U (1) bundle over the Riemann curve g of genus g. Seifert surfaces have two topological charac- teristics (n, g), where n is the degree of the line bundle cor- responding to the U (1) bundle. Although the moduli space of the Higgs bundles over the ...
The Dirac-Higgs bundle The Dirac–Higgs bundle is hyperholomorphic on the smooth hyperkhler moduli space of stable Higgs bundles. This property is a generalisation of the four-dimensional antiself-duality equations to hyperkhler manifolds. One use of the ... Jakob Blaavand 被引量: 4发表: ...