Publications

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1579 Publications visible to you, out of a total of 1579

Abstract (Expand)

Fine-tuned organic photoredox catalysts are introduced for the metal-free alkynylation of alkylnitrile radicals generated via oxidative ring opening of cyclic alkylketone oxime ethers. The redox properties of the dyes were determined by both cyclic voltammetry and computation and covered an existing gap in the oxidation potential of photoredox organocatalysts.

Authors: Franck Le Vaillant, Marion Garreau, Stefano Nicolai, Ganna Gryn'ova, Clemence Corminboeuf, Jerome Waser

Date Published: 2018

Publication Type: Journal

Abstract

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Authors: S Kashif Sadiq, Rebecca C Wade

Date Published: 2018

Publication Type: Journal

Abstract

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Author: Patrick Friedrich

Date Published: 2018

Publication Type: Master's Thesis

Abstract

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Author: Mehmet Ali Öztuerk

Date Published: 2018

Publication Type: Doctoral Thesis

Abstract (Expand)

We study when the mapping class group of an infinite-type surface S admits an action with unbounded orbits on a connected graph whose vertices are simple closed curves on S. We introduce a topological invariant for infinite-type surfaces that determines in many cases whether there is such an action. This allows us to conclude that, as non-locally compact topological groups, many big mapping class groups have nontrivial coarse geometry in the sense of Rosendal.

Authors: Matthew Gentry Durham, Federica Fanoni, Nicholas G. Vlamis

Date Published: 2018

Publication Type: Book

Abstract (Expand)

Given a connected complex semi-simple Lie group G and a Riemann surface X, a G-oper on X is a higher rank generalization of a complex projective structure on X. These objects play an important role inin integrable systems and geometric representation theory, a status that was cemented by the seminal work of Beilinson-Drinfeld \citeBD91. For G a connected complex simple Lie group of adjoint type, we study the global deformation theory of G-opers on a connected, closed, oriented smooth surface Σof genus at least two. We exhibit the deformation space of G-opers on Σas a holomorphic fiber bundle over Teichmüller space, and elucidate the relationship with the deformation space of complex projective structures. Then, we show that there is a family of identifications of the deformation space of G-opers with a holomorphic vector bundle \mathcalB_G(Σ) over Teichmüller space whose typical fiber over a Riemann surface X is a sum of spaces of pluri-canonical sections. Finally, we show that the holonomy map from the deformation space of G-opers to the deformation space of flat G-bundles on Σis a holomorphic immersion. As a consequence of this result, we show that the deformation space of G-opers carries a (pre-symplectic) closed holomorphic differential 2-form of constant rank, and we prove that a sub-family of the identifications of \mathcalB_G(Σ) with the deformation space of G-opers is a holomorphic pre-symplectic map for a natural holomorphic pre-symplectic form on \mathcalB_G(Σ). These results generalize the fundamental features of the deformation space of complex projective structures on Σto the setting of G-opers.

Author: Andrew Sanders

Date Published: 2018

Publication Type: Journal

Abstract

The goal of this article is to invite the reader to get to know and to get involved into higher Teichmüller theory by describing some of its many facets.

Author: Anna Wienhard

Date Published: 2018

Publication Type: Journal

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