Results 31 to 40 of about 5,710 (77)

Quantum mechanics and quantum Hall effect on Riemann surfaces

, 1993
The quantum mechanics of a system of charged particles interacting with a magnetic field on Riemann surfaces is studied. We explicitly construct the wave functions of ground states in the case of a metric proportional to the Chern form of the $\theta ...
Alvarez-Gaumé, Antoine, Arbarello, Avron, Bolte, Bos, Buser, Comtet, D'Hoker, Dingping Li, Farkas, Fay, Gutzwiller, Haldane, Haldane, Hejhal, Hejhal, Iengo, Iengo, Knizhnik, Li, Moore, Prange, Roberto Iengo, Shiffman, Verlinde, Wen   +26 more
core   +2 more sources

Dimer models and conformal structures

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala, Erik Duse, István Prause, Xiao Zhong   +3 more
wiley   +1 more source

Some General Aspects of Coset Models and Topological Kazama-Suzuki Models

, 1996
We study global aspects of N=2 Kazama-Suzuki coset models by investigating topological G/H Kazama-Suzuki models in a Lagrangian framework based on gauged Wess-Zumino-Witten models. We first generalize Witten's analysis of the holomorphic factorization of
Bardacki, Berglund, Blau, Blau, Blau, Blau, Blau, Bröcker, Dijkgraaf, Eguchi, Eguchi, Faheem Hussain, Fendley, Fuchs, Fuchs, Gawedzki, Gawedzki, Gawedzki, George Thompson, Gepner, Gepner, Gepner, Giveon, Goddard, Halpern, Henningson, Henningson, Hosono, Johnson, Karabali, Kazama, Kazama, Lerche, Lerche, Lerche, Matthias Blau, Nakatsu, Nakatsu, Nunes, Schellekens, Schnitzer, Schweigert, Spindel, Spindel, Witten, Witten, Witten, Witten, Witten, Witten   +49 more
core   +2 more sources

Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond

Mathematische Nachrichten, Volume 299, Issue 2, Page 456-479, February 2026.
Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley   +1 more source

The DNA of Calabi–Yau Hypersurfaces

Fortschritte der Physik, Volume 74, Issue 2, February 2026.
Abstract Genetic Algorithms are implemented for triangulations of four‐dimensional reflexive polytopes, which induce Calabi–Yau threefold hypersurfaces via Batyrev's construction. These algorithms are shown to efficiently optimize physical observables such as axion decay constants or axion–photon couplings in string theory compactifications.
Nate MacFadden, Andreas Schachner, Elijah Sheridan   +2 more
wiley   +1 more source

Higher cohomology triples and holomorphic extensions

, 1995
We introduce equations for special metrics, and notions of stability for some new types of augmented holomorphic bundles. These new examples include holomorphic extensions, and in this case we prove a Hitchin-Kobayashi correspondence between a certain ...
Bradlow, Steven B., Garcia-Prada, Oscar
core   +1 more source

Dissipative energy functionals of passive linear time‐varying systems

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.
Abstract The concept of dissipativity plays a crucial role in the analysis of control systems. Dissipative energy functionals, also known as Hamiltonians, storage functions, or Lyapunov functions, depending on the setting, are extremely valuable to analyze and control the behavior of dynamical systems, but in general circumstances they are very ...
Riccardo Morandin, Dorothea Hinsen
wiley   +1 more source

Sequences of Willmore surfaces

, 2006
In this paper we develop the theory of Willmore sequences for Willmore surfaces in the 4-sphere. We show that under appropriate conditions this sequence has to terminate. In this case the Willmore surface either is the twistor projection of a holomorphic
A.I. Bobenko, A.M. Din, Franz Pedit, J. Bolton, J. Eells, J.G. Wolfson, K. Leschke, K. Leschke, K. Leschke, K. Uhlenbeck, Katrin Leschke, N. Ejiri, N. Hitchin, R.L. Bryant, S. Montiel, U. Pinkall   +15 more
core   +1 more source

Witten genera of complete intersections

Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.
Abstract We prove vanishing results for Witten genera of string generalized complete intersections in homogeneous Spinc$\text{Spin}^c$‐manifolds and in other Spinc$\text{Spin}^c$‐manifolds with Lie group actions. By applying these results to Fano manifolds with second Betti number equal to one we get new evidence for a conjecture of Stolz.
Michael Wiemeler
wiley   +1 more source

The versal deformation of small resolutions of conic bundles over P1×P1${\mathbb {P}}^1\times {\mathbb {P}}^1$ with two sections blown down

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract Twistor spaces are certain compact complex three‐folds with an additional real fibre bundle structure. We focus here on twistor spaces over P2#P2#P2${\mathbb {P}}^2\#{\mathbb {P}}^2\#{\mathbb {P}}^2$. Such spaces are either small resolutions of double solids or they can be described as modifications of conic bundles.
Bernd Kreußler, Jan Stevens
wiley   +1 more source