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Author: Norihiko Minami
Publisher: American Mathematical Soc.
ISBN: 0821825186
Category : Burnside rings
Languages : en
Pages : 82
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Book Description
The purpose of this paper is to present a totally new approach to homology operations on [italic capitals]QS0 including their foundations and some applications. One strategy is to deduce relations among the various operations as consequences of similar relations among various operations on Burnside rings.
Author: Norihiko Minami
Publisher: American Mathematical Soc.
ISBN: 0821825186
Category : Burnside rings
Languages : en
Pages : 82
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Book Description
The purpose of this paper is to present a totally new approach to homology operations on [italic capitals]QS0 including their foundations and some applications. One strategy is to deduce relations among the various operations as consequences of similar relations among various operations on Burnside rings.
Author: Melvin Hochster
Publisher: American Mathematical Soc.
ISBN: 0821825569
Category : Mathematics
Languages : en
Pages : 105
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Book Description
This book uses a powerful new technique, tight closure, to provide insight into many different problems that were previously not recognized as related. The authors develop the notion of weakly Cohen-Macaulay rings or modules and prove some very general acyclicity theorems. These theorems are applied to the new theory of phantom homology, which uses tight closure techniques to show that certain elements in the homology of complexes must vanish when mapped to well-behaved rings. These ideas are used to strengthen various local homological conjectures. Initially, the authors develop the theory in positive characteristic, but it can be extended to characteristic 0 by the method of reduction to characteristic $p$. The book would be suitable for use in an advanced graduate course in commutative algebra.
Author: John Roe
Publisher: American Mathematical Soc.
ISBN: 0821825593
Category : Mathematics
Languages : en
Pages : 106
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Book Description
"July 1993, volume 104, number 497 (fourth of 6 numbers)."
Author: Francisco González-Acuña
Publisher: American Mathematical Soc.
ISBN: 0821825348
Category : Mathematics
Languages : en
Pages : 71
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Book Description
This paper deals with the two broad questions of how 3-manifold groups imbed in one another and how such imbeddings relate to any corresponding [lowercase Greek]Pi1-injective maps. In particular, we are interested in 1) determining which 3-manifold groups are no cohopfian, that is, which 3-manifold groups imbed properly in themselves, 2) determining the knot subgroups of a knot group, and 3) determining when surgery on a knot [italic]K yields a lens (or "lens-like") space and the relationship of such a surgery to the knot-subgroup structure of [lowercase Greek]Pi1([italic]S3 - [italic]K). Our work requires the formulation of a deformation theorem for [lowercase Greek]Pi1-injective maps between certain kinds of Haken manifolds and the development of some algebraic tools.
Author: Steven Zelditch
Publisher: American Mathematical Soc.
ISBN: 0821825267
Category : Curves on surfaces
Languages : en
Pages : 113
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Book Description
This work is concerned with a pair of dual asymptotics problems on a finite-area hyperbolic surface. The first problem is to determine the distribution of closed geodesics in the unit tangent bundle. The second problem is to determine the distribution of eigenfunctions (in microlocal sense) in the unit tangent bundle.
Author:
Publisher: Taylor & Francis
ISBN: 9780821862247
Category : Dirichlet problem
Languages : en
Pages : 84
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Book Description
Author: John David Fay
Publisher: American Mathematical Soc.
ISBN: 082182550X
Category : Mathematics
Languages : en
Pages : 137
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Book Description
This memoir is a study of Ray-Singer analytic torsion for hermitian vector bundles on a compact Riemann surface [italic]C. The torsion is expressed through the trace of a modified resolvent. Thus, one can develop perturbation-curvature formulae for the Green-Szegö kernel and also for the torsion in terms of the Ahlfors-Bers complex structure of the Teichmuller space and Mumford complex structure of the moduli space of stable bundles of degree zero on [italic]C.
Author: Igor Frenkel
Publisher: American Mathematical Soc.
ISBN: 0821825550
Category : Mathematics
Languages : en
Pages : 79
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Book Description
The basic definitions and properties of vertex operator algebras, modules, intertwining operators and related concepts are presented, following a fundamental analogy with Lie algebra theory. The first steps in the development of the general theory are taken, and various natural and useful reformulations of the axioms are given. In particular, tensor products of algebras and modules, adjoint vertex operators and contragradient modules, adjoint intertwining operators and fusion rules are studied in greater depth. This paper lays the monodromy-free axiomatic foundation of the general theory of vertex operator algebras, modules and intertwining operators.
Author: David Soudry
Publisher: American Mathematical Soc.
ISBN: 0821825682
Category : Mathematics
Languages : en
Pages : 113
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Book Description
On t.p. "o2olo+o1" and "on" are subscript.
Author: Karl-Hermann Neeb
Publisher: American Mathematical Soc.
ISBN: 0821825623
Category : Mathematics
Languages : en
Pages : 209
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Book Description
First we investigate the structure of Lie algebras with invariant cones and give a characterization of those Lie algebras containing pointed and generating invariant cones. Then we study the global structure of invariant Lie semigroups, and how far Lie's third theorem remains true for invariant cones and Lie semigroups.
