Let $C$ be a smooth complex projective curve and $G$ connected reductive group. We prove that if the center $Z(G)$ of is disconnected, then Kirwan map $H^*\big(\operatorname{Bun}(G,C),\mathbb{Q}\big)\rightarrow H^*\big(\mathcal{M}_{\operatorname{Higgs}}^{\operatorname{ss}},\mathbb{Q}\big)$ from cohomology moduli stack $G$-bundles to semistable $G$-Higgs bundles, fails surjective: more precisely...

A bicommutant category is a higher categorical analog of von Neumann algebra. We study the categories which arise as commutant $${\mathcal {C}}'$$ fully faithful representation {C}}\rightarrow \textrm{Bim}(R)$$ unitary fusion {C}}$$ . Using results Izumi, Popa, and Tomatsu about existence uniqueness representations (multi)fusion categories, we prove that if {D}}$$ are Morita equivalent then the...

The big bang-big crunch (BB-BC) algorithm is a popular metaheuristic optimization technique proposed based on one of the theories for the evolution of the universe. The algorithm utilizes a two-phase search mechanism: big-bang phase and big-crunch phase. In the big-bang phase the concept of energy dissipation is considered to produce disorder and randomness in the candidate population while in ...

ion emergent properties of microlevel interactions, 22–23 micro and macro levels of, 22 Aesthetic tyranny, 96 Affective motives, 63 Alkali Prize, 9–10 Amabile, Teresa, and Eric von Hippel, 74–75 Amateurism, discourse on, 91–92. See also Professionalism amateur crowd myth, 69–73 amateur label, 86–88 amateur vs. professional dichotomy, 72–73, 87, 90, 91 Amazon Mechanical Turk, xx–xxi, 36, 39, 45t...

The ultimate goal of hepatitis C virus (HCV) treatment is the eradication of the virus. Ongoing research continues to add to knowledge of the HCV life cycle, revealing new potential viral and host targets for the development of therapy. Understanding of HCV was initially hampered by the inability to achieve viral replication in cell culture. Advances such as the HCV replicon and complete cell c...

this article presents the application of two algorithms: heuristic big bang-big crunch (hbb-bc) and a heuristic particle swarm ant colony optimization (hpsaco) to discrete optimization of reinforced concrete planar frames subject to combinations of gravity and lateral loads based on aci 318-08 code. the objective function is the total cost of the frame which includes the cost of concrete, formw...

The blades of a wind turbine have the most important job of any wind turbine component; they must capture the wind and convert it into useable mechanical energy. The objective of this work is to determine the mechanical power of single big C-section of vertical wind turbine for wind car in a two-dimensional model. The wind car has a vertical axis with 3 single big C-section blades mounted at an...

This paper examines how an organisational learning culture impacts agility by developing a model based on dynamic capabilities. The treats as capability and explains (OLC) triggers chain reaction through its influence (OA) that ultimately results in company growth. also investigates the role of big data capabilities transferring outcomes into is tested collected from survey 138 Australian compa...