38 citations · 172 across the 14 of their papers we have counts for
18 papers
Pearl: A Foundation Model for Placing Every Atom in the Right Location
Genesis Research Team, Alejandro Dobles, Nina Jovic +37
Accurately predicting the three-dimensional structures of protein-ligand complexes remains a fundamental challenge in computational drug discovery that limits the pace and success…
On the integration of Manin pairs
David Li-Bland, Eckhard Meinrenken
It is a remarkable fact that the integrability of a Poisson manifold to a symplectic groupoid depends only on the integrability of its cotangent Lie algebroid : The source-simpl…
Modeling Disease Progression in Mild Cognitive Impairment and Alzheimer's Disease with Digital Twins
Daniele Bertolini, Anton D. Loukianov, Aaron M. Smith +4
Alzheimer's Disease (AD) is a neurodegenerative disease that affects subjects in a broad range of severity and is assessed in clinical trials with multiple cognitive and functional…
Generating Digital Twins with Multiple Sclerosis Using Probabilistic Neural Networks
Jonathan R. Walsh, Aaron M. Smith, Yannick Pouliot +3
Multiple Sclerosis (MS) is a neurodegenerative disorder characterized by a complex set of clinical assessments. We use an unsupervised machine learning model called a Conditional R…
Coherent Quantization using Coloured Surfaces
David Li-Bland, Pavol Ševera
In this note, we revisit the quantization of Lie bialgebras described by the second author, placing it in the more general framework of the quantization of moduli spaces developed…
The stack of higher internal categories and stacks of iterated spans
David Li-Bland
In this paper, we show that two constructions form stacks: Firstly, as one varies the -topos, , Lurie's homotopy theory of higher categories internal to $\math…
Pseudo-Dirac Structures
David Li-Bland
A Dirac structure is a Lagrangian subbundle of a Courant algebroid, , which is involutive with respect to the Courant bracket. In particular, inherits the s…
On the Van Est homomorphism for Lie groupoids
David Li-Bland, Eckhard Meinrenken
The Van Est homomorphism for a Lie groupoid , as introduced by Weinstein-Xu, is a cochain map from the complex of groupoid cochains to the Che…
Selective Categories and Linear Canonical Relations
David Li-Bland, Alan Weinstein
A construction of Wehrheim and Woodward circumvents the problem that compositions of smooth canonical relations are not always smooth, building a category suitable for functorial q…
On Deformation Quantization of Poisson-Lie Groups and Moduli Spaces of Flat Connections
David Li-Bland, Pavol Ševera
We give simple explicit formulas for deformation quantization of Poisson-Lie groups and of similar Poisson manifolds which can be represented as moduli spaces of flat connections o…
Symplectic and Poisson geometry of the moduli spaces of flat connections over quilted surfaces
David Li-Bland, Pavol Severa
In this paper we study the symplectic and Poisson geometry of moduli spaces of flat connections over quilted surfaces. These are surfaces where the structure group varies from regi…
Moduli spaces for quilted surfaces and Poisson structures
David Li-Bland, Pavol Ševera
Let G be a Lie group endowed with a bi-invariant pseudo-Riemannian metric. Then the moduli space of flat connections on a principal G-bundle, P\to Σ, over a compact oriented surfac…
LA-Courant algebroids and their applications
David Li-Bland
In this thesis we develop the notion of LA-Courant algebroids, the infinitesimal analogue of multiplicative Courant algebroids. Specific applications include the integration of q-…
Dirac Lie Groups
David Li-Bland, Eckhard Meinrenken
A classical theorem of Drinfel'd states that the category of simply connected Poisson Lie groups H is isomorphic to the category of Manin triples (d, g, h), where h is the Lie alge…
Integration of Exact Courant Algebroids
David Li-Bland, Pavol Severa
In this paper, we describe an integration of exact Courant algebroids to symplectic 2-groupoids, and we show that the differentiation procedure from [26] inverts our integration.
Quasi-Hamiltonian groupoids and multiplicative Manin pairs
David Li-Bland, Pavol Severa
We reformulate notions from the theory of quasi-Poisson g-manifolds in terms of graded Poisson geometry and graded Poisson-Lie groups and prove that quasi-Poisson g-manifolds integ…
AV-Courant algebroids and generalized CR structures
David Li-Bland
We construct a generalization of Courant algebroids which are classified by the third cohomology group , where is a Lie Algebroid, and is an -module. We see th…
Courant algebroids and Poisson Geometry
David Li-Bland, Eckhard Meinrenken
Given a manifold M with an action of a quadratic Lie algebra d, such that all stabilizer algebras are co-isotropic in d, we show that the product M\times d becomes a Courant algebr…