2,744 research outputs found
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Casson Invariant and Gauge Theory
No full textIn this chapter, we give an account of SU(2)-gauge theory in dimension three. We discuss C. Taubes’ gauge-theoretical definition of the Casson invariant as (roughly) the Euler number of the gradient field of the Chern-Simons function. The Chern-Simons function plays a central role in modern understanding of homology 3-spheres, so we discuss it in some detail. An infinite dimensional analogue of Morse theory applied to the Chern-Simons function produces the instanton Floer homology which will be discussed in the next chapter. This gauge-theoretical approach to the Casson invariant leads to several extensions in a direction different from that of Walker and Lescop. One of the extensions we discuss is the SU(3) Casson invariant of H. Boden and C. Herald. Another one is the Casson-type invariant for knots in integral homology spheres introduced by X.-S. Lin and C. Herald, and finally, the equivariant Casson invariant of integral homology spheres with a finite cyclic group action by O. Collin and the author
The effectiveness of graphics in disclosing quantitative information on market risk: an experimental investigation
No full textThe communication of quantitative information on market risk using graphics in the annual reports of banks and securities firms
No full textThe explosive growth of the derivatives markets1 and the highly publicised recent
losses11 have created concerns among various parties about the possibility of
increasing systemic risk. Systemic risk is the risk that a disruption ( in a firm, in a
market segment, to a settlement system, etc.) causes widespread difficulties in other
firms, in other market segments or to the financial system as a whole (see Shah
1977 for details)
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Introduction: the nature and significance of medieval statistics
No full textThis paper summarises the first definitive book ever published on the sources of medieval economic statistics, and is written by the two editors/contributors who managed this project, carried out under the auspices of the Royal Statistical Society.
Medieval statistics provide a unique window on the past. Medieval documents produced by royal governments, monastic and ecclesiastical institutions, urban boroughs and legal cases for debt recovery provide a mine of useful information on economic life and financial affairs. They show that medieval administration was far more numerate, and far more sophisticated than is usually recognized. The focus is on English statistics, as they have survived particularly well in both state and private records, but which showcase the potential of digital technology in enabling systematic study of medieval primary sources where large databases can now be compiled from original manuscripts
Casson, T H A, VX46967
No full textThis record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/376385Surname: CASSON
Given Name(s) or Initials: T H A
Military Service Number or Last Known Location: VX46967
Missing, Wounded and Prisoner of War Enquiry Card Index Number: 42446189374
Item: [2016.0049.08691] "Casson, T H A, VX46967
Urban Rents and the Property Market
No full textProperty, this chapter shows, served a wider purpose than just a place of residence or business. Property was also an asset, providing opportunities for capital gains at the point of sale or transfer, and rental income. Property speculation and ‘buy to let’ were features of the medieval period just as they are today. In a period when banking facilities were limited, money made in other entrepreneurial endeavours could be safely invested in property and then relatively easily released when next required for project finance. This chapter outlines the surviving sources that reveal the operation of medieval rural and urban property markets in England. It takes a chronological approach, beginning with Anglo-Saxon charters (c. 410–1066) and then covering feet of fines (1195 onwards), deeds and charters (c. 1200 onwards), the Hundred Rolls (1279) and urban rentals (c. 1300 onwards). The nature of each source, together with illustrative examples, is outlined. This is followed by a discussion of how they have been used by historians to examine research questions relating to political and economic history
The scientific journal in the post‐truth era
No full textEditorialRobert J. Casson, Salmaan Al-Quresh
Prevalence of trachoma among a group of Aboriginal school children in remote South Australia
No full text© 2008 Royal Australian and New Zealand College of OphthalmologistsShane R Durkin, Robert J Casson, Dinesh Selva, Henry S Newlan
Casson, Sister F R (Florence Rebecca), SX13418
No full textThis record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/376384Surname: CASSON
Given Name(s) or Initials: SISTER F R (FLORENCE REBECCA)
Military Service Number or Last Known Location: SX13418
Missing, Wounded and Prisoner of War Enquiry Card Index Number: 20939189373
Item: [2016.0049.08690] "Casson, Sister F R (Florence Rebecca), SX13418
On the sheaf-theoretic SL(2, C) Casson–Lin invariant
No full textWe prove that the (τ-weighted, sheaf-theoretic) SL(2, C) Casson–Lin invariant introduced by Manolescu and the first author is generically independent of the parameter τ and additive under connected sums of knots in integral homology 3-spheres. This addresses two questions asked by Manolescu and the first author. Our arguments involve a mix of topology and algebraic geometry, and rely crucially on the fact that the SL(2, C) Casson–Lin invariant admits an alternative interpretation via the theory of Behrend functions.</p
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