87 citations · 321 across the 18 of their papers we have counts for
19 papers
Complex-linear invariants of biochemical networks
R. L. Karp, M. Pérez Millán, T. Dasgupta +2
The nonlinearities found in molecular networks usually prevent mathematical analysis of network behaviour, which has largely been studied by numerical simulation. This can lead to…
Numerical Hermitian Yang-Mills Connections and Vector Bundle Stability in Heterotic Theories
Lara B. Anderson, Volker Braun, Robert L. Karp +1
A numerical algorithm is presented for explicitly computing the gauge connection on slope-stable holomorphic vector bundles on Calabi-Yau manifolds. To illustrate this algorithm, w…
Quantum symmetries and exceptional collections
Robert L. Karp
We study the interplay between discrete quantum symmetries at certain points in the moduli space of Calabi-Yau compactifications, and the associated identities that the geometric r…
Numerical Calabi-Yau metrics
Michael R. Douglas, Robert L. Karp, Sergio Lukic +1
We develop numerical methods for approximating Ricci flat metrics on Calabi-Yau hypersurfaces in projective spaces. Our approach is based on finding balanced metrics, and builds on…
Derived autoequivalences and a weighted Beilinson resolution
Alberto Canonaco, Robert L. Karp
Given a smooth stacky Calabi-Yau hypersurface X in a weighted projective space, we consider the functor G which is the composition of the following two autoequivalences of D^b(X):…
Numerical solution to the hermitian Yang-Mills equation on the Fermat quintic
Michael R. Douglas, Robert L. Karp, Sergio Lukic +1
We develop an iterative method for finding solutions to the hermitian Yang-Mills equation on stable holomorphic vector bundles, following ideas recently developed by Donaldson. As…