We provide several constructions in differential KO-theory. First, we construct a refinement of the Aˆ-genus and pushforward leading to Riemann-Roch theorem. set up Atiyah-Hirzebruch spectral sequence (AHSS) for KO-theory explicitly identify differentials, including ones which mix geometric topological data. highlight power these explicit identifications by providing characterization forms imag...

Tourism is more dependent on the environment than any other economic activity. Modern tourism requires use of vast areas environment, untouched or well-protected, because only in such can it hope to develop so as be and social benefit. Having mind great impact its development needs harmonise with concept sustainability. Ecotourism one selective forms based natural resources their over time, cha...

Abstract Although mountainous regions remained relatively isolated and almost untouched by the Ottoman rule, labor migration connected inhabitants of these to socioeconomic political processes in Empire beyond. Kruševo, a highland village located present-day North Macedonia, provides an excellent case for understanding connections. This paper presents systematic evidence from archives document ...

Complex lattices provide a versatile ground for fascinating quantum many-body physics. Here, we propose an exotic mechanics generating orbital frustration in hexagonal lattices. We study two-component (pseudospin-$1/2$) Bose gases $p$-orbital bands of two-dimensional lattices, and find that the system exhibits previously untouched as result interplay spin degrees freedom, contrast to normal Isi...

Chendebji village under Tangsibji Gewog, Trongsa Dzongkhag is a receptacle of diverse cultures. The known for its historical sense and the folktales. socio-cultural practices are almost similar to other villages but they have their uniqueness in certain aspects. Moreover, modernization has exposed external world with coming Buddhism, there several improvisations made aspects Bon practices. Howe...

Quantum entanglement between an interfering particle and a detector for acquiring the which-path information plays central role enforcing Bohr's complementarity principle. However, quantitative relation this fringe visibility remains untouched upon initial mixed state. Here we find equality quantifying relation. Our characterizes how well interference pattern can be preserved when particle, ini...

Recent developments in the gravitational waves interferometry require more pertinent theoretical models of generation and propagation. Untouched possible mechanisms spin-2 spacetime perturbations production, we will consider their subsequent scattering on other black holes (BHs). Specifically, a generalization Regge-Wheeler-Zerilli equations for case distorted BHs (BHs surrounded with matter) M...

Abstract According to Johns Hopkins University, by December 2020, more than 78 million SARS-COV-2 (Covid-19) cases have been reported with 1.7 deaths, out of which 300 thousand were in the U.S. alone. No country on earth has untouched preemptive creation a global recession combat disease. Covid-19 disrupted supply chains, consumption patterns, and business models multitude industries include la...

Although considerable advances have been made in developing chemoselective transformations of ubiquitous carboxylic acid groups, many challenges still exist. For instance, their selective reduction is problematic if both more nucleophilic and electrophilic groups are present the starting material. Here, we address this problem with a simple mild protocol using bench-stable reagents at ambient t...