Publications related to Equivariant K-theory of GKM bundles

Moments of the number of points in a bounded set for number field lattices

Maryna Viazovska, Nihar Prakash Gargava, Vlad Serban

We examine the moments of the number of lattice points in a fixed ball of volume

V

for lattices in Euclidean space which are modules over the ring of integers of a number field

K

. In particular, denoting by

ω_K

the number of roots of unity in

K

, we ...

arXiv2023

The multivariate Serre conjecture ring

Luc Guyot

It is well-known that for any integral domain R, the Serre conjecture ring R(X), i.e., the localization of the univariate polynomial ring R[X] at monic polynomials, is a Bezout domain of Krull dimension

San Diego2023

FIBERED TORIC VARIETIES

Leonid Monin

A toric variety is called fibered if it can be represented as a total space of fibre bundle over toric base and with toric fiber. Fibered toric varieties form a special case of toric variety bundles. In this note we first give an introduction to the class ...

Moscow2023

Resolving bundle-specific intra-axonal T2 values within a voxel using diffusion-relaxation tract-based estimation

Jean-Philippe Thiran, Erick Jorge Canales Rodriguez, Alessandro Daducci, Cristina Granziera, Muhamed Barakovic

At the typical spatial resolution of MRI in the human brain, approximately 60–90% of voxels contain multiple fiber populations. Quantifying microstructural properties of distinct fiber populations within a voxel is therefore challenging but necessary. Whil ...

2020

Characteristic classes as complete obstructions

Martina Rovelli

In the first part of this paper, we propose a uniform interpretation of characteristic classes as obstructions to the reduction of the structure group and to the existence of an equivariant extension of a certain homomorphism defined a priori only on a sin ...

SPRINGER HEIDELBERG2019

A Sensor Network Architecture for Digital SiPM-Based PET Systems

Edoardo Charbon, Claudio Bruschini, Francesco Gramuglia

Digital silicon photo-multipliers (SiPMs) have emerged in the recent past as a viable low cost alternative to photomultiplier tubes in positron emission tomography systems, providing multiple timestamps, energy and scintillation coordinates at high spatial ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2018

Arithmetic and metric aspects of open de Rham spaces

Dimitri Stelio Wyss, Tamás Hausel, Michael Lennox Wong

In this paper we determine the motivic class---in particular, the weight polynomial and conjecturally the Poincar'e polynomial---of the open de Rham space, defined and studied by Boalch, of certain moduli of irregular meromorphic connections on the trivia ...

2018

A Looping-Delooping Adjunction For Topological Spaces

Martina Rovelli

Every principal G-bundle over X is classified up to equivalence by a homotopy class X -> BG, where BG is the classifying space of G. On the other hand, for every nice topological space X Milnor constructed a strict model of its loop space (Omega) over tild ...

Int Press Boston, Inc2017

Towards new invariants for principal bundles

Martina Rovelli

We investigate the theory of principal bundles from a homotopical point of view. In the first part of the thesis, we prove a classification of principal bundles over a fixed base space, dual to the well-known classification of bundles with a fixed structur ...

EPFL2017

Two-photon excitation endoscopy through a multimode optical fiber

Demetri Psaltis, Christophe Moser, Edgar Emilio Morales Delgado

The vast number of propagating solutions to the wave equation in multimode optical fibers represents a larger information capacity than provided by fiber bundles of the same diameter. Therefore, in the field of imaging, multimode fibers potentially allow t ...

Spie-Int Soc Optical Engineering2016

Equivariant K-theory of GKM bundles

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Moments of the number of points in a bounded set for number field lattices

The multivariate Serre conjecture ring

FIBERED TORIC VARIETIES

Resolving bundle-specific intra-axonal T2 values within a voxel using diffusion-relaxation tract-based estimation

Characteristic classes as complete obstructions

A Sensor Network Architecture for Digital SiPM-Based PET Systems

Arithmetic and metric aspects of open de Rham spaces

A Looping-Delooping Adjunction For Topological Spaces

Towards new invariants for principal bundles

Two-photon excitation endoscopy through a multimode optical fiber

The multivariate Serre conjecture ring

Towards new invariants for principal bundles

Two-photon excitation endoscopy through a multimode optical fiber

Moments of the number of points in a bounded set for number field lattices

FIBERED TORIC VARIETIES

Resolving bundle-specific intra-axonal T2 values within a voxel using diffusion-relaxation tract-based estimation

Characteristic classes as complete obstructions

A Sensor Network Architecture for Digital SiPM-Based PET Systems

Arithmetic and metric aspects of open de Rham spaces

A Looping-Delooping Adjunction For Topological Spaces