Výsledky vyhledávání - "Boalch, Philip"

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Counting the fission trees and nonabelian Hodge graphs

Autor: Boalch, Philip

Any algebraic connection on a vector bundle on a smooth complex algebraic curve determines an irregular class and in turn a fission tree at each puncture. The fission trees are the discrete data classifying the admissible deformation classes. Here we

Externí odkaz: http://arxiv.org/abs/2410.23358

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Akademický článek

Diagrams for nonabelian Hodge spaces on the affine line

Autor: Boalch, Philip, Yamakawa, Daisuke

Publikováno v: Comptes Rendus. Mathématique, Vol 358, Iss 1, Pp 59-65 (2020)

In this announcement a diagram will be defined for each nonabelian Hodge space on the affine line.

Externí odkaz: https://doaj.org/article/c6b8b1ddad384a209e95da75f82e9d86

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Polystability of Stokes representations and differential Galois groups

Autor: Boalch, Philip, Yamakawa, Daisuke

Polystability of (twisted) Stokes representations (i.e. wild monodromy representations) will be characterised, in terms of the corresponding differential Galois group (generalising the Zariski closure of the monodromy group in the tame case). This ex

Externí odkaz: http://arxiv.org/abs/2301.09067

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Twisted local wild mapping class groups: configuration spaces, fission trees and complex braids

Autor: Boalch, Philip, Douçot, Jean, Rembado, Gabriele

Following the completion of the algebraic construction of the Poisson wild character varieties (B.--Yamakawa, 2015) one can consider their natural deformations, generalising both the mapping class group actions on the usual (tame) character varieties

Externí odkaz: http://arxiv.org/abs/2209.12695

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Symplectic Manifolds and Isomonodromic Deformations

Autor: Boalch, Philip

Publikováno v: Adv. Math. 163 (2001) 137-205

We study moduli spaces of meromorphic connections (with arbitrary order poles) over Riemann surfaces together with the corresponding spaces of monodromy data (involving Stokes matrices). Natural symplectic structures are found and described both expl

Externí odkaz: http://arxiv.org/abs/2002.00052

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Diagrams for nonabelian Hodge spaces on the affine line

Autor: Boalch, Philip, Yamakawa, Daisuke

Publikováno v: Comptes Rendus. Math\'ematique, Tome 358 (2020) no. 1, pp. 59-65

In this announcement a diagram will be defined for each nonabelian Hodge space on the affine line.
Comment: 9 pages (v2: minor improvements)

Externí odkaz: http://arxiv.org/abs/1907.11149

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Topology of the Stokes phenomenon

Autor: Boalch, Philip

Publikováno v: Proc. Symp. Pure Math. 103 (2021) 55-100

Several intrinsic topological ways to encode connections on vector bundles on smooth complex algebraic curves will be described. In particular the notion of {\em Stokes decompositions} will be formalised, as a convenient intermediate category between

Externí odkaz: http://arxiv.org/abs/1903.12612

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Wild character varieties, meromorphic Hitchin systems and Dynkin diagrams

Autor: Boalch, Philip

The theory of Hitchin systems is something like a "global theory of Lie groups", where one works over a Riemann surface rather than just at a point. We'll describe how one can take this analogy a few steps further by attempting to make precise the cl

Externí odkaz: http://arxiv.org/abs/1703.10376

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Twisted wild character varieties

Autor: Boalch, Philip, Yamakawa, Daisuke

We will construct twisted versions of the wild character varieties.
Comment: 26 pages, two figures

Externí odkaz: http://arxiv.org/abs/1512.08091

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