Concept
Orbifold
Publications associées (37)
A DONALDSON-THOMAS CREPANT RESOLUTION CONJECTURE ON CALABI-YAU 4-FOLDS
Let G be a finite subgroup of SU(4) such that its elements have age at most one. In the first part of this paper, we define K-theoretic stable pair invariants on a crepant resolution of the affine quotient C4/G, and conjecture a closed formula for their ge ...
Providence2023Physics-Inspired Equivariant Descriptors of Nonbonded Interactions
Michele Ceriotti, Philip Robin Loche, Kevin Kazuki Huguenin-Dumittan
One essential ingredient in many machine learning (ML) based methods for atomistic modeling of materials and molecules is the use of locality. While allowing better system-size scaling, this systematically neglects long-range (LR) effects such as electrost ...
Washington2023Lie groups in the symmetric group: Reducing Ulam's problem to the simple case
Ulam asked whether all Lie groups can be represented faithfully on a countable set. We establish a reduction of Ulam's problem to the case of simple Lie groups. In particular, we solve the problem for all solvable Lie groups and more generally Lie groups w ...
San Diego2023Quasi-categories vs. Segal spaces: Cartesian edition
We prove that four different ways of defining Cartesian fibrations and the Cartesian model structure are all Quillen equivalent: 1.On marked simplicial sets (due to Lurie [31]), 2.On bisimplicial spaces (due to deBrito [12]), 3.On bisimplicial sets, 4.On m ...
2021Temporally-Coherent Surface Reconstruction via Metric-Consistent Atlases
Pascal Fua, Mathieu Salzmann, Shaifali Parashar, Jan Bednarík, Siddhartha Chaudhuri
We propose a method for the unsupervised reconstruction of a temporally-coherent sequence of surfaces from a sequence of time-evolving point clouds, yielding dense, semantically meaningful correspondences between all keyframes. We represent the reconstruct ...
2021Towards the K(2)-local homotopy groups of Z
Previously (Adv. Math. 360 (2020) art. id. 106895), we introduced a class (Z) over tilde of 2-local finite spectra and showed that all spectra Z is an element of (Z) over tilde admit a v(2)-self-map of periodicity 1. The aim here is to compute the K(2)-loc ...
GEOMETRY & TOPOLOGY PUBLICATIONS2020Yield prediction in parallel homogeneous assembly
Massimo Mastrangeli, Metin Sitti
We investigate the parallel assembly of two-dimensional, geometrically-closed modular target structures out of homogeneous sets of macroscopic components of varying anisotropy. The yield predicted by a chemical reaction network (CRN)-based model is quantit ...
Royal Society of Chemistry2017Waldhausen K-theory of spaces via comodules
Let X be a simplicial set. We construct a novel adjunction be- tween the categories RX of retractive spaces over X and ComodX+ of X+- comodules, then apply recent work on left-induced model category structures [5], [16] to establish the existence of a left ...
Academic Press Inc Elsevier Science2016An indiscrete Bieberbach theorem: from amenable CAT$(0)$ groups to Tits buildings
Non-positively curved spaces admitting a cocompact isometric action of an amenable group are investigated. A classification is established under the assumption that there is no global fixed point at infinity under the full isometry group. The visual bounda ...
2015A Groupoid Approach to Luck's Amenability Conjecture
We prove that amenability of a discrete group is equivalent to dimension flatness of certain ring inclusions naturally associated with measure preserving actions of the group. This provides a group-measure space theoretic solution to a conjecture of Luck s ...
Osaka Journal Of Mathematics2014