Results 131 to 140 of about 216,766 (231)
Uncertainty‐guided U‐Net for soil boundary segmentation using Monte Carlo dropout
Abstract Accurate soil stratification is essential for geotechnical engineering design. Owing to its effectiveness and efficiency, the cone penetration test (CPT) has been widely applied for subsurface stratigraphy, which relies heavily on empiricism for correlations to soil type.
X. Zhou+3 more
wiley +1 more source
Locally constant fibrations and positivity of curvature
Abstract Up to finite étale cover, any smooth complex projective variety X$X$ with nef anti‐canonical bundle is a holomorphic fibre bundle over a smooth projective variety with trivial canonical class (K‐trivial variety for short) with locally constant transition functions. We show that this result is optimal by proving that any projective fibre bundle
Niklas Müller
wiley +1 more source
Topological Field Theory and Nonlinear $\sigma$-Models on Symmetric Spaces
We show that the classical non-abelian pure Chern-Simons action is related to nonrelativistic models in (2+1)-dimensions, via reductions of the gauge connection in Hermitian symmetric spaces.
Martina, L., Pashaev, O. K., Soliani, G.
core
An observation on the existence of stable generalized complex structures on ruled surfaces
Abstract We point out that any stable generalized complex structure on a sphere bundle over a closed surface of genus at least two must be of constant type.
Rafael Torres
wiley +1 more source
Zero modes of velocity field and topological invariant in quantum torus
We propose a velocity field approach to characterize topological invariants of quantum states. We introduce the indexes of the velocity field flow based on the zero modes of the velocity field and find that these zero modes play the role of the effective
Annan Fan, Shi-Dong Liang
doaj
On Chern-Simons Matrix Models [PDF]
The contribution of reducible connections to the U(N) Chern-Simons invariant of a Seifert manifold $M$ can be expressed in some cases in terms of matrix integrals. We show that the U(N) evaluation of the LMO invariant of any rational homology sphere admits a matrix model representation which agrees with the Chern-Simons matrix integral for Seifert ...
arxiv
Some applications of canonical metrics to Landau–Ginzburg models
Abstract It is known that a given smooth del Pezzo surface or Fano threefold X$X$ admits a choice of log Calabi–Yau compactified mirror toric Landau–Ginzburg model (with respect to certain fixed Kähler classes and Gorenstein toric degenerations).
Jacopo Stoppa
wiley +1 more source
Cosmological time and the constants of nature
We propose that cosmological time is effectively the conjugate of the constants of nature. Different definitions of time arise, with the most relevant related to the constant controlling the dynamics in each epoch. The Hamiltonian constraint then becomes
João Magueijo
doaj
Chern class of Schubert cells in the flag manifold and related algebras [PDF]
We discuss a relationship between Chern-Schwartz-MacPherson classes for Schubert cells in flag manifolds, Fomin-Kirillov algebra, and the generalized nil-Hecke algebra. We show that nonnegativity conjecture in Fomin-Kirillov algebra implies the nonnegativity of the Chern-Schwartz-MacPherson classes for Schubert cells in flag manifolds for type A ...
arxiv
Quasi-Kähler manifolds with trivial Chern Holonomy [PDF]
In this paper we study almost complex manifolds admitting a quasi-K\"ahler Chern-flat metric (Chern-flat means that the holonomy of the Chern connection is trivial). We prove that in the compact case such manifolds are all nilmanifolds. Some partial classification results are established and we prove that a quasi-K\"ahler Chern-flat structure can be ...
arxiv