Results 71 to 80 of about 3,784,223 (275)

Intersection theory and Chern classes in Bott–Chern cohomology

Arkiv för Matematik, 2023
In this article, we investigate an axiomatic approach introduced by Grivaux for the study of rational Bott-Chern cohomology, and use it in that context to define Chern classes of coherent sheaves. This method also allows us to derive a Riemann-Roch-Grothendieck formula for a projective morphism between smooth complex compact manifolds.
openaire   +2 more sources

Orbifold Chern classes inequalities and applications

Annales de l'Institut Fourier, 2023
In this paper we prove that given a pair (X,D) of a threefold X and a boundary divisor D with mild singularities, if (K X +D) is movable, then the orbifold second Chern class c 2 of (X,D) is pseudoeffective. This generalizes the classical result of Miyaoka on the pseudoeffectivity of c 2 for minimal models.
Rousseau, Erwan, Taji, Behrouz
openaire   +5 more sources

Photo‐Reconfigurable Supercoupling Induced Transparency in On‐Chip Topological Edge State Cavities

Advanced Materials, EarlyView.
A novel supercoupling induced transparency (SIT) is demonstrated in a valley‐Hall photonic crystal. The valley vortices enable the supercoupling between a leaky and a guided topological edge state cavity even across a distance of 4.3 wavelengths, inducing a transparency window with negligible reflection.
Wenhao Wang, Ranjan Singh
wiley   +1 more source

Duality and Universality for the Chern-Simons bosons

, 1996
By mapping the relativistic version of the Chern-Simons-Landau-Ginzburg theory in 2+1 dimensions to the 3D lattice Villain x-y model coupled with the Chern-Simons gauge field, we investigate phase transitions of Chern-Simons bosons in the limit of strong
A. Kovner, A. Lopez, A. M. M. Pruisken, A. Shapere, B. I. Halperin, B. I. Halperin, B. I. Halperin, C. A. Lütken, C. A. Lütken, D. Eliezer, D. Lee, D. Shahar, D.-H. Lee, D.-H. Lee, D.-H. Lee, D.-H. Lee, E. Fradkin, E. Fradkin, F. D. M. Haldane, F. Wilczek, G. V. Mil'nikov, H. Kleinert, H. P. Wei, J. Fröhlich, J. Fröhlich, J. Jain, J. L. Cardy, J. L. Cardy, J. Villain, L. Engel, L. P. Pryadko, Leonid P. Pryadko, M. E. Peskin, M. Fisher, M. Kiometzis, M. Kiometzis, M. Lüscher, M. P. A. Fisher, N. Schultka, R. B. Laughlin, S. C. Zhang, S. Kivelson, S. Koch, S.-C. Zhang, S.-J. Rey, Shou-Cheng Zhang, V. Kalmeyer, V. L. Berezinskii, V. Müller, W. Chen, W. Chen, X.-G. Wen   +51 more
core   +1 more source

Chern Classes of Projective Modules [PDF]

Nagoya Mathematical Journal, 1963
In topology, one can define in several ways the Chern class of a vector bundle over a certain topological space (Chern [2], Hirzebruch [7], Milnor [9], Steenrod [15]). In algebraic geometry, Grothendieck has defined the Chern class of a vector bundle over a non-singular variety.
openaire   +3 more sources

Super‐Robust Telecommunications Enabled by Topological Half‐Supermodes

Advanced Science, EarlyView.
Through topological half‐supermode engineering, we realize a valley‐ridge gap waveguide that is directly compatible with conventional waveguides and features topological protection. This design halves the lateral size via a PEC boundary, enabling direct TE₁₀‐mode matching and robust bend‐immune transmission.
Rui Zhou, Xintong Shi, Hai Lin, Yan Ren, Hang Liu, Zihao Yu, Jing Jin, Zhihao Lan, Menglin L. N. Chen   +8 more
wiley   +1 more source

A Secondary Chern-Euler Class [PDF]

The Annals of Mathematics, 1999
Let xi be a smooth oriented vector bundle, with n-dimensional fibre, over a smooth manifold M. Denote by xi-hat the fibrewise one-point compactification of xi. The main purpose of this paper is to define geometrically a canonical element Upsilon(xi) in H^n(xi-hat,Q) (H^n(xi-hat,Z) tensor 1/2, to be more precise).
openaire   +2 more sources

Environmentally Friendly Nanofiber Cellulose From Durian Rinds: A Sustainable Alternative Biomass Resource

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT A novel, efficient, and eco‐friendly sustainable process has been developed for the extraction of cellulose nanofibers (CNF) from durian rinds. The method utilizes low‐molecular‐weight 2,2,6,6‐tetramethylpiperidine‐1‐oxyl (TEMPO) as an oxidation agent, in conjunction with sonication treatment, resulting in a significant reduction of processing
Nyoman Puspa Asri, Minarni Wartiningsih, Chintya Gunarto, Antonius Jimmy Widagdo, Yohannes Somawiharja, Yustia Wulandari Mirzayanti, Jia‐Ming Chern, Suryadi Ismadji   +7 more
wiley   +1 more source

Chern half metals: a new class of topological materials to realize the quantum anomalous Hall effect. [PDF]

Nano letters (Print), 2014
New topological insulators that demonstrate the quantum anomalous Hall effect (QAHE) are a cutting-edge research topic in condensed matter physics and materials science.
Jun Hu, Zhenyu Zhu, R. Wu
semanticscholar   +1 more source

Chern classes of automorphic vector bundles [PDF]

Inventiones Mathematicae, 2002
The authors present a fair amount of technical material, providing background information from topology on stratified spaces, on differential topology and differential geometry, on vector bundles, symmetric spaces and algebraic groups. The Baily-Borel Satake compactification, parabolically induced connections and patched connections are studied.
Goresky, Mark, Pardon, William
openaire   +1 more source