Results 21 to 30 of about 84,550 (175)

Modular amplitudes and flux-superpotentials on elliptic Calabi-Yau fourfolds [PDF]

Journal of High Energy Physics, 2017
A bstractWe discuss the period geometry and the topological string amplitudes on elliptically fibered Calabi-Yau fourfolds in toric ambient spaces. In particular, we describe a general procedure to fix integral periods.
Cesar Fierro Cota, A. Klemm, Thorsten Schimannek   +2 more
semanticscholar   +2 more sources

A STRONG MAXIMUM PRINCIPLE FOR WEAK SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS WITH APPLICATIONS TO LORENTZIAN AND RIEMANNIAN GEOMETRY [PDF]

, 1997
The strong maximum principle is proved to hold for weak (in the sense of support functions) sub- and supersolutions to a class of quasi-linear elliptic equations that includes the mean curvature equation for C0-space-like hypersurfaces in a Lorentzian ...
L. Andersson, G. Galloway, R. Howard
semanticscholar   +1 more source

Topological Strings and (Almost) Modular Forms [PDF]

, 2006
The B-model topological string theory on a Calabi-Yau threefold X has a symmetry group Gamma, generated by monodromies of the periods of X. This acts on the topological string wave function in a natural way, governed by the quantum mechanics of the phase
A. Klemm, A. Klemm, A.A. Gerasimov, Albrecht Klemm, C. Vafa, C. Vafa, G.W. Moore, H. Farkas, H. Klingen, J.W.S. Cassels, M. Aganagic, M. Aganagic, M. Aganagic, M. Aganagic, M. Bershadsky, M. Bershadsky, Mina Aganagic, N. Nekrasov, N. Seiberg, N.A. Nekrasov, P. Candelas, R. Dijkgraaf, S. Kachru, S. Katz, T.M. Chiang, Vincent Bouchard   +25 more
core   +4 more sources

Hurwitz theory of elliptic orbifolds, I [PDF]

Geometry and Topology, 2017
An elliptic orbifold is the quotient of an elliptic curve by a finite group. In 2001, Eskin and Okounkov proved that generating functions for the number of branched covers of an elliptic curve with specified ramification are quasimodular forms for $SL_2(\
P. Engel
semanticscholar   +1 more source

Picard groups on moduli of K3 surfaces with Mukai models [PDF]

, 2014
We discuss the Picard group of moduli space $\mathcal{K}_g$ of quasi-polarized K3 surfaces of genus $g\leq 12$ and $g\neq 11$. In this range, $\mathcal{K}_g$ is unirational and a general element in $\mathcal{K}_g$ is a complete intersection with respect ...
Greer, Francois, Li, Zhiyuan, Tian, Zhiyu   +2 more
core   +4 more sources

Modular Fluxes, Elliptic Genera, and Weak Gravity Conjectures in Four Dimensions

, 2019
We analyse the Weak Gravity Conjecture for chiral four-dimensional F-theory compactifications with N=1 supersymmetry. Extending our previous work on nearly tensionless heterotic strings in six dimensions, we show that under certain assumptions a tower of
Lee, Seung-Joo, Lerche, Wolfgang, Weigand, Timo   +2 more
core   +1 more source

Quasi-asymptotically conical Calabi–Yau manifolds [PDF]

Geometry and Topology, 2016
We construct new examples of quasi-asymptotically conical (QAC) Calabi-Yau manifolds that are not quasi-asymptotically locally Euclidean (QALE). We do so by first providing a natural compactification of QAC-spaces by manifolds with fibred corners and by ...
Ronan J. Conlon, A. Degeratu, Frédéric Rochon   +2 more
semanticscholar   +1 more source

Deformation and rigidity of simplicial group actions on trees

, 2002
We study a notion of deformation for simplicial trees with group actions (G-trees). Here G is a fixed, arbitrary group. Two G-trees are related by a deformation if there is a finite sequence of collapse and expansion moves joining them. We show that this
Bass, Max Forester, Mosher, Stallings, Tits   +4 more
core   +2 more sources

Corotating and irrotational binary black holes in quasi-circular orbits [PDF]

, 2001
A complete formalism for constructing initial data representing black-hole binaries in quasi-equilibrium is developed. Radiation reaction prohibits, in general, true equilibrium binary configurations. However, when the timescale for orbital decay is much
A. Ashtekar, A. Buonanno, A. Komar, A. Lichnerowicz, A.D. Kulkarni, D.M. Eardley, E. Gourgoulhon, E. Gourgoulhon, G.B. Cook, G.B. Cook, G.B. Cook, G.B. Cook, Gregory B. Cook, H. Tagoshi, H.P. Pfeiffer, J. Thornburg, J.B. Hartle, J.M. Bowen, J.M. Bowen, J.P. Ostriker, J.W. York, Jr., J.W. York, Jr., J.W. York, Jr., J.W. York, Jr., K. Alvi, K. Uryū, K. Uryū, L. Smarr, L.E. Kidder, L.E. Kidder, P. Grandclément, P. Marronetti, P. Marronetti, P. Marronetti, R. Beig, R.A. Matzner, S. Bonazzola, S. Bonazzola, S. Brandt, T. Damour, T.W. Baumgarte, T.W. Baumgarte, T.W. Baumgarte, T.W. Baumgarte   +43 more
core   +2 more sources

Dirichlet Problems of a Quasi-Linear Elliptic System [PDF]

, 2003
We discuss the Dirichlet problem of the quasi-linear elliptic system \begin{eqnarray*} -e^{-f(U)}div(e^{f(U)}\bigtriangledown U)+&{1/2}f'(U)|\bigtriangledown U|^2&=0, {in $\Omega$}, & U|_{\partial\Omega}&=\phi.
Gong-bao Li, Li Ma
semanticscholar   +1 more source