Publications related to Chain complex

Cochains are all you need

In this thesis, we apply cochain complexes as an algebraic model of space in a diverse range of mathematical and scientific settings. We begin with an algebraic-discrete Morse theory model of auto-encoding cochain data, connecting the homotopy theory of d ...

EPFL2024

Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups

Nicolas Monod

We determine the bounded cohomology of the group of homeomorphisms of certain low-dimensional manifolds. In particular, for the group of orientation-preserving homeomorphisms of the circle and of the closed 2-disc, it is isomorphic to the polynomial ring g ...

SPRINGER HEIDELBERG2023

A Shape Derivative Approach to Domain Simplification

Annalisa Buffa, Jochen Peter Hinz, Ondine Gabrielle Chanon, Alessandra Arrigoni

The objective of this study is to address the difficulty of simplifying the geometric model in which a differential problem is formulated, also called defeaturing, while simultaneously ensuring that the accuracy of the solution is maintained under control. ...

Elsevier Sci Ltd2023

Steric and Electronic Effects Responsible for N,O- or N,N-Chelating Coordination of Pyrazolones Containing a Pyridine Ring in Ruthenium Arene Systems

Paul Joseph Dyson, Farzaneh Fadaei Tirani, Mouna Hadiji

Structural and electronic factors are crucial to rationalizethedifferent N,O or N,N chelating coordination of pyrazolones containinga pyridine ring. The reactivity of proligand 3-phenyl-1-(pyridin-2-yl)-5-pyrazolone(HLpy,ph) with the (arene)Ru(II) fragment ...

AMER CHEMICAL SOC2023

Collapse-invariant properties of spaces equipped with signals or directions

Stefania Ebli

Collapsing cell complexes was first introduced in the 1930's as a way to deform a space into a topological-equivalent subspace with a sequence of elementary moves. Recently, discrete Morse theory techniques provided an efficient way to construct deformatio ...

EPFL2022

Lamplighters and the bounded cohomology of Thompson's group

Nicolas Monod

We prove the vanishing of the bounded cohomology of lamplighter groups for a wide range of coefficients. This implies the same vanishing for a number of groups with self-similarity properties, such as Thompson's group F. In particular, these groups are bou ...

SPRINGER BASEL AG2022

Chiral Cyclic Alkyl Amino Carbene (CAAC) Transition-Metal Complexes: Synthesis, Structural Analysis, and Evaluation in Asymmetric Catalysis

Adrien Jules Louis Madron Du Vigné

Despite recent advances in the field of cyclic alkyl amino carbenes (CAACs) including a few complementary synthetic strategies affording CAACs with various substitution patterns, the application potential of chiral CAACs to efficiently catalyze asymmetric ...

2022

A Shadow Perspective on Equivariant Hochschild Homologies

Kathryn Hess Bellwald, Inbar Klang

Shadows for bicategories, defined by Ponto, provide a useful framework that generalizes classical and topological Hochschild homology. In this paper, we define Hochschild-type invariants for monoids in a symmetric monoidal, simplicial model category V, as ...

OXFORD UNIV PRESS2022

Generic direct summands of tensor products for simple algebraic groups and quantum groups at roots of unity

Jonathan Gruber

Let G be either a simple linear algebraic group over an algebraically closed field of characteristic l>0 or a quantum group at an l-th root of unity. The category Rep(G) of finite-dimensional G-modules is non-semisimple. In this thesis, we develop new tech ...

EPFL2022

Reduced representations of complexes, signals, and multifiltrations

Celia Camille Hacker

The field of computational topology has developed many powerful tools to describe the shape of data, offering an alternative point of view from classical statistics. This results in a variety of complex structures that are not always directly amenable for ...

EPFL2022

Ligand Effects in Low-Valent Co(I) Clathrochelate Complexes

Rosario Scopelliti, Kay Severin, Farzaneh Fadaei Tirani, Ophélie Marie Planes

Clathrochelate complexes of cobalt are known in the oxidation states I, II, and III. Low-valent Co(I) complexes are highly reactive compounds, and there is only limited knowledge about their structures in the solid state. Herein, we describe the crystallog ...

2021

Local invertibility and sensitivity of atomic structure-feature mappings

Michele Ceriotti, Sergey Pozdnyakov

Background: The increasingly common applications of machine-learning schemes to atomic-scale simulations have triggered efforts to better understand the mathematical properties of the mapping between the Cartesian coordinates of the atoms and the variety o ...

2021

Structural and analytical identifications of biomolecules by cold ion spectroscopy of non-covalent complexes

Erik Saparbayev

Non-covalent interactions are ubiquitous in nature. The diversity and functionality of these interactions are employed by nature as a universal tool for building the molecular mechanism of life. Although weak, these interactions play a key role in both for ...

EPFL2021

Half-clathrochelate Complexes as Versatile Links in Supramolecular Chemistry

Erica Giraldi

Clathrochelate complexes have been widely investigated with different size and shape and used as building blocks for the obtainment of discrete supramolecular architectures. These clathrochelate complexes are very stable and kinetically inert complexes. A ...

EPFL2021

Swiss in motion : Analyser et visualiser les rythmes quotidiens. Une première approche à partir du dispositif Time-Machine

Vincent Kaufmann, Frédéric Kaplan, Guillaume Simon Joseph Drevon, Yann Francis Eric Dubois, Nils Hamel, Patrick Rerat

Au cours des 50 dernières années, les développements technologiques dans le domaine des transports et des télécommunications ont contribué à reconfigurer les comportements spatio-temporels (Kaufmann, 2008). Les individus bénéficient ainsi d’un large univer ...

EPFL-UNIL2020

An effective proof of the Cartan formula: The even prime

Anibal Maximiliano Medina Mardones

The Cartan formula encodes the relationship between the cup product and the action of the Steenrod algebra in F-p-cohomology. In this work, we present an effective proof of the Cartan formula at the cochain level when the field is F-2. More explicitly, for ...

2020

Multipatch approximation of the de Rham sequence and its traces in isogeometric analysis

Annalisa Buffa, Rafael Vazquez Hernandez

We define a conforming B-spline discretisation of the de Rham complex on multipatch geometries. We introduce and analyse the properties of interpolation operators onto these spaces which commute w.r.t. the surface differential operators. Using these result ...

Springer2020

A Calculation Method for Interconnected Timber Elements Using Wood-Wood Connections

Yves Weinand, Julien Gamerro, Jean-François Bocquet

Wood-wood connections, widely used in the past, have been progressively replaced by steel fasteners in timber constructions. Currently, they can be manufactured and implemented more efficiently thanks to digital fabrication techniques. In addition, with th ...

2020

Reactivity and biological activity of N,N,S-Schiff-base rhodium pentamethylcyclopentadienyl complexes

Paul Joseph Dyson, Lucinda Kate Batchelor

Neutral piano-stool complexes of the general formula [(eta(5)-C5Me5)Rh(L-OR)] (R = Me, 1; R = Et, 2; R = Pe(i), 3) have been prepared in alcohols (methanol, 1; ethanol, 2; isopropanol, 3) from the Schiff-base 5-methyl-4-{(pyridin-2-ylmethylene)amino}-4H-1, ...

ELSEVIER SCIENCE SA2020

Assembly of High-Spin [Fe-3] Clusters by Ligand-Based Multielectron Reduction

Rosario Scopelliti, Marinella Mazzanti, Ivica Zivkovic, Davide Toniolo

The hexanuclear [Na12Fe6(tris-cyclo-salophen)(2)(THF)(14)], 1-THF, and the trinuclear [Na6Fe3(tris-cyclo-salophen)(py)(9)], 1-py, Fe(II) clusters can be easily assembled in one step from the ligand-based reduction of the [FeII(salophen)(THF)] complex. Thes ...

2020