Moonshine, the monster, and related topics : Joint Research Conference on Moonshine, the Monster, and Related Topics, June 18-23, 1994, Mount Holyoke College, South Hadley, Massachusetts
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書誌事項
Moonshine, the monster, and related topics : Joint Research Conference on Moonshine, the Monster, and Related Topics, June 18-23, 1994, Mount Holyoke College, South Hadley, Massachusetts
（Contemporary mathematics, v. 193）
American Mathematical Society, c1996
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注記
"The AMS-IMS-SIAM Joint Summer Research Conference in ... "--T.p. verso
Includes bibliographical references
内容説明・目次
内容説明
'One of the great legacies of the classification of the finite simple groups is the existence of the Monster $\ldots$. Work of Borcherds and Frenkel-Lepowsky-Meurman led to the notion of a vertex (operator) algebra, which was seen to be the same as the chiral algebras used by physicists in conformal field theory $\ldots$. The connections with physics have proven to be invaluable, and it seems likely that another branch of mathematics whose origins are eerily similar to those of moonshine - that is, elliptic cohomology - will turn out to be very relevant too' - from the Preface.This volume contains the proceedings of a Joint Summer Research Conference held at Mount Holyoke College in June 1994. As perhaps the first conference proceedings devoted exclusively to the subject known as 'Moonshine', this work contains something for many mathematicians and physicists. It features: results concerning the monster simple group and other simple groups; connections with elliptic cohomology; connections with 2-dimensional conformal field theory; the role of operads; and, connections with modular functions. ""Much of Moonshine, the Monster, and Related Topics"" features new results not available anywhere else.
目次
Higher genus moonshine by P. Bantay Superstring twisted conformal field theory by L. Dolan Some twisted sectors for the moonshine module by C. Dong, H. Li, and G. Mason Spinor construction of the $c=1/2$ minimal model by A. J. Feingold, J. X. Ries, and M. D. Weiner The McKay-Thompson series associated with the irreducible characters of the monster by K. Harada and M. L. Lang Some quilts for the Mathieu groups by T. Hsu A nonmeromorphic extension of the moonshine module vertex operator algebra by Y.-Z. Huang On the Buekenhout-Fischer geometry of the monster by A. A. Ivanov Operads of moduli spaces and algebraic structures in conformal field theory by T. Kimura On Hopf algebras and the elimination theorem for free Lie algebras by J. Lepowsky and R. L. Wilson Local systems of twisted vertex operators, vertex operator superalgebras and twisted modules by H.-S. Li Modular forms and topology by K. Liu On modular invariance of completely replicable functions by Y. Martin On embedding of integrable highest weight modules of affine Lie algebras by K. C. Misra The monster algebra: Some new formulae by S. Norton Modular moonshine? by A. E. Ryba Replicant powers for higher genera by G. W. Smith Generalised moonshine and Abelian orbifold constructions by M. P. Tuite.
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