Parabolic hitchin system and mirror symmetry
WebIn Section 3 we recall the SYZ mirror symmetry result for the parabolic Hitchin system, review the stringy E -polynomials, describe the topological mirror symmetry conjecture of Hausel–Thaddeus, and state and prove our result. WebMotivated by this duality between Hitchin integrable systems and the Strominger-Yau-Zaslowpicture of mirror symmetry, Hausel and Thaddeuas proposed in [HT03] the so-called topological mirror symmetry conjecture, in which ... mirror symmetry for parabolic Higgs bundles of rank n = 2,3 with full flags. 1.2. Mirror symmetry for parabolic Higgs ...
Parabolic hitchin system and mirror symmetry
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WebJun 6, 2024 · Topological Mirror Symmetry of Parabolic Hitchin Systems. A BSTRACT . In … WebAug 15, 2001 · In the announcement [20] Hausel and Thaddeus also consider the parabolic case, and outline a proof that SYZ mirror symmetry holds for any n. Biswas-Dey [8] later proved this in the case when...
WebRecollection on Higgs bundles Langlands duality and mirror symmetry An integral mirror … WebJun 6, 2024 · We use the correspondence and the p-adic integration methods developed …
WebChern classes from the elliptic locus to the total Hitchin base, we prove a support theorem parallel to [2] for certain parabolic Hitchin moduli spaces. This is completed in Section 4. The idea of combining vanishing cycle functors and support theorems was also applied in [23] to give a proof of the topological mirror symmetry conjecture of ... WebJun 6, 2024 · We use the correspondence and the p-adic integration methods developed …
WebIntro Hitchin’s system Physics background Nilpos Singular curves Degenerations Main results Singularities Questions Higgs bundles and integrable systems The Hitchin system is a global version of the quotient map g !t=W, where t is the Cartan of the Lie algebra g of the group G, and W is the Weyl group. When G = GL(N), this map sends a matrix ...
WebJun 6, 2024 · We use the correspondence and the p-adic integration methods developed by Groechenig- Wyss-Ziegler [GWZ20b] to prove the topological mirror symmetry for parabolic Hitchin systems on curves with arbitrary parabolic structures. Submission history From: Bin Wang [ view email ] [v1] Mon, 6 Jun 2024 12:06:54 UTC (33 KB) Download: PDF PostScript meaning of balance of probabilitiesWebMay 23, 2002 · Among the major mathematical approaches to mirror symmetry are those of Batyrev-Borisov and Strominger-Yau-Zaslow (SYZ). The first is explicit and amenable to computation but is not clearly related to the physical motivation; the second is the opposite. peat strategy englandWebn had appeared earlier in [HT03], in the context of hyperkahler mirror symmetry. The main result of [DP06] is formulated as a duality of the Hitchin system: There is a canonical isomorphism between the bases B, LB of the Hitchin system for the group G and its Langlands dual LG, taking the discriminant in one to the discriminant in the other ... peat swamp forests of malaysiaWebFeb 21, 2024 · We study the mirror symmetry on the singular locus of the Hitchin system at two levels. First, by covering it by (supports of) (BBB)-branes, corresponding to Higgs bundles reducing their structure group to the Levi subgroup of some parabolic subgroup P, whose conjectural dual (BAA)-branes we describe. meaning of bags in hindiWebthe Hitchin system relies upon in an intimate way. In a sense, these are very basic models for Hitchin integrabil-ity. In general, through hyperpolygons we have a testing ground for various insights and conjectures into Hitchin systems. Hence, questions about Higgs bundles, such as explicit realizations of their mirror symmetry, can be peat task forceWebMar 23, 2024 · Topological mirror symmetry for parabolic Higgs bundles - Harvard Math … meaning of balanced budgetWebAlexander Beilinson, Vladimir Drinfeld, section 5.2.7 of Quantization of the Hitchin system and Hecke eigensheaves, based on. Gérard Laumon, ... Geometric Endoscopy and Mirror Symmetry (arXiv:0710.5939) Edward Witten, Mirror Symmetry, Hitchin’s Equations, ... Parabolic Whittaker Functions and Topological Field Theories I (arXiv:1002.2622) peat sweet homes