Results 21 to 30 of about 5,710 (77)

Numerical Hermitian Yang-Mills Connections and Kahler Cone Substructure [PDF]

, 2011
We further develop the numerical algorithm for computing the gauge connection of slope-stable holomorphic vector bundles on Calabi-Yau manifolds. In particular, recent work on the generalized Donaldson algorithm is extended to bundles with Kahler cone ...
A Lukas, A Lukas, A Lukas, A Lukas, B Shiffman, BR Greene, Burt A. Ovrut, C Doran, DH Phong, DJ Gross, E Witten, E Witten, EI Buchbinder, ER Sharpe, G Tian, HSC Okonek, J Keller, J Keller, K Uhlenbeck, L Witten, Lara B. Anderson, LB Anderson, LB Anderson, LB Anderson, LB Anderson, LB Anderson, LB Anderson, LB Anderson, LB Anderson, LB Anderson, LB Anderson, LB Anderson, LB Anderson, M Headrick, MB Green, MR Douglas, MR Douglas, P Candelas, P Candelas, P Candelas, P Griffiths, P Hořava, P Hořava, R Blumenhagen, R Seyyedali, RS Bunch, S Donaldson, S-T Yau, SK Donaldson, SK Donaldson, V Bouchard, V Braun, V Braun, V Braun, V Braun, V Braun, V Braun, V Braun, Volker Braun, X Wang, Y Sano   +60 more
core   +2 more sources

Invariant divisors and equivariant line bundles [PDF]

Forum of Mathematics, Sigma
Scalar relative invariants play an important role in the theory of group actions on a manifold as their zero sets are invariant hypersurfaces. Relative invariants are central in many applications, where they often are treated locally since an invariant
B. Kruglikov, Eivind Schneider
semanticscholar   +1 more source

Rational points in a family of conics over F2(t)$\mathbb {F}_2(t)$

Mathematische Nachrichten, EarlyView.
Abstract Serre famously showed that almost all plane conics over Q$\mathbb {Q}$ have no rational point. We investigate versions of this over global function fields, focusing on a specific family of conics over F2(t)$\mathbb {F}_2(t)$ which illustrates new behavior.
Daniel Loughran, Judith Ortmann
wiley   +1 more source

Real‐Time Conformal Maps and Parameterizations

Computer Graphics Forum, EarlyView.
Abstract We present a simple algorithm to conformally map between two simple and bounded planar domains based on the concept of harmonic measure, which is a conformal invariant. With suitable preprocessing, the algorithm is fast enough to compute all possible conformal maps (having three real degrees of freedom) between the two domains in real time in
Q. Chang, C. Gotsman, K. Hormann
wiley   +1 more source

On computing local monodromy and the numerical local irreducible decomposition

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards, Jonathan D. Hauenstein   +1 more
wiley   +1 more source

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source

An index theorem for families invariant with respect to a bundle of Lie groups [PDF]

, 2000
We define the equivariant family index of a family of elliptic operators invariant with respect to the free action of a bundle $\GR$ of Lie groups. If the fibers of $\GR \to B$ are simply-connected solvable, we then compute the Chern character of the ...
Nistor, Victor
core   +1 more source

WDVV‐based recursion for open Gromov–Witten invariants

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract We give a computability result for open Gromov–Witten invariants based on open Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations. This is analogous to the result of Kontsevich–Manin for closed Gromov–Witten invariants. For greater generality, we base the argument on a formal object, the Frobenius superpotential, that generalizes several ...
Roi Blumberg, Sara B. Tukachinsky
wiley   +1 more source

Nonlinear Instantons from Supersymmetric p-Branes

, 2003
Supersymmetric configurations of type II D-branes with nonzero gauge field strengths in general supersymmetric backgrounds with nonzero B fields are analyzed using the kappa-symmetric worldvolume action.
Marino, Marcos, Minasian, Ruben, Moore, Gregory, Strominger, Andrew   +3 more
core   +1 more source

Convergence properties of dynamic mode decomposition for analytic interval maps

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 179-206, February 2026.
Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji, Julia Slipantschuk, Oscar F. Bandtlow, Wolfram Just   +3 more
wiley   +1 more source