Abstract. In this paper, we collect a number of facts about double Hurwitz numbers, where the simple branch points are replaced by their more general analogues — completed (r + 1)-cycles. In particular, we give a geometric interpretation of these generalised Hurwitz numbers and derive a cut-and-join operator for completed (r+1)-cycles. We also prove a strong piecewise polynomiality property in ...

Inspired by his vanishing results of tautological classes and by Harer’s computation of the virtual cohomological dimension of the mapping class group, Looijenga conjectured that the moduli space of smooth Riemann surfaces admits a stratification by affine subsets with a certain number of layers. Similarly, Roth and Vakil extended the conjecture to the moduli spaces of Riemann surfaces of compa...

velocities and blood flow in the AVM feeding arteries, contralateral arteries, draining veins, and straight sinus. Figure 3: Perfusion ratios (CBF, CBV, and MTT) in four pairs of ROIs (Ni/Nc, Hi/Hc, Pi/Pc, and Ri/Rc) between the affected and nonaffected hemispheres. Figure 1: 4D flow visualization (pathlines) and analysis plane positions for flow quantification in a left medial occipital AVM (l...

This is the first study in literature investigating effects of different spatial configurations (open, semi-open and enclosed) shopping centres on user perceptions. The aim this to determine centres’ perceptions users, investigate current trends predict likely designs for consumer-wise future. Accordingly, open-air Konya Bedesten Bazaar, Forum Bornova Shopping Centre, enclosed Kule Site Centre ...

with the purpose of presenting a design approach of interventions for conservation of historic districts of cities, the city of ardebil is discussed as a case study. with the complexity of cultural relations in the contemporary world, it has a great importance to protect human connections and also urban historic spaces in which these cultural relations had been presented for long time. the city...

In July 2001 the 70-year-old German „Rabattgesetz“ that prevented negotiations in retail business has been abolished. During the abolition process consumeras well as retailer pressure groups claimed that significant damages for their clients were to be expected. Using game theoretic modelling this paper discusses which economic consequences could arise from the amendment. It shows that none of ...