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For elliptic threefolds, I will study the relationship of their Donaldson-Thomas invariants with quasi-Jacobi forms, using both degeneration techniques and wallcrossing formulae. After elliptic curves, K3 surfaces form the simplest Calabi-Yau geometry for which a complete understanding of the Gromov-Witten theory is in reach. This provides methods to prove that Gromov-Witten invariants of Hilbert schemes of points on K3 surfaces are Fourier coefficients of quasi-Jacobi forms, possibly leading to a complete solution of their enumerative geometry. Correspondences for moduli spaces of Higgs bundles and the orbifold theory of the symmetric product of surfaces will be considered as well. I aim to prove a correspondence between its Gromov-Witten theory, and the Donaldson-Thomas theory of certain threefold families. The geometry of the Hilbert scheme of points on a surface will play a central role.
Of K3 surfaces, string partition functions of Calabi-Yau threefolds with links to Conway Moonshine, and a major case of the Crepant Resolution Conjecture. These link together different enumerative theories and open new perspectives to attack long-standing problems concerning the quantum cohomology of the Hilbert scheme of points on surfaces, modular properties of invariants With K3Mod I propose to establish a wide range of new correspondences in enumerative geometry. The subject, which has roots going back to the ancient Greeks, was revolutionized by string theory in the 90s and has since become a fundamental link between algebraic geometry, representation theory, number theory and physics. Our online platform, Wiley Online Library () is one of the world’s most extensive multidisciplinary collections of online resources, covering life, health, social and physical sciences, and humanities.Enumerative geometry is concerned with counting geometric objects on spaces defined by polynomial equations. With a growing open access offering, Wiley is committed to the widest possible dissemination of and access to the content we publish and supports all sustainable models of access. Wiley has partnerships with many of the world’s leading societies and publishes over 1,500 peer-reviewed journals and 1,500+ new books annually in print and online, as well as databases, major reference works and laboratory protocols in STMS subjects. Wiley has published the works of more than 450 Nobel laureates in all categories: Literature, Economics, Physiology or Medicine, Physics, Chemistry, and Peace. has been a valued source of information and understanding for more than 200 years, helping people around the world meet their needs and fulfill their aspirations.
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JSTOR provides a digital archive of the print version of Economic Each issueĪlso contains a substantial number of book reviews. Many years past a comprehensive annual list of publications on the economicĪnd social history of Great Britain and Ireland has been published. Of 'Surveys and Speculations' which are more reflective survey articles.
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In addition to regular papers, some issues contain contributions to a series The emphasis is on broad coverage of themes of economicĪnd social change, including their intellectual, political and cultural implications. Is pleased to publish high quality research on the economic and social history Range of methodological approaches used by economic and social historians and The Review welcomes contributions based on the full
Has been published since 1927 and is one of the world's leading journals in Is edited on behalf of the Economic History Society by leading scholars. Research on all aspects of economic and social history. The Economic History Review publishes articles based on original
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