Sheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture PDF Download
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Author: Joel Friedman
Publisher: American Mathematical Soc.
ISBN: 1470409887
Category : Mathematics
Languages : en
Pages : 124
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Book Description
In this paper the author establishes some foundations regarding sheaves of vector spaces on graphs and their invariants, such as homology groups and their limits. He then uses these ideas to prove the Hanna Neumann Conjecture of the 1950s; in fact, he proves a strengthened form of the conjecture.
Author: Joel Friedman
Publisher: American Mathematical Soc.
ISBN: 1470409887
Category : Mathematics
Languages : en
Pages : 124
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Book Description
In this paper the author establishes some foundations regarding sheaves of vector spaces on graphs and their invariants, such as homology groups and their limits. He then uses these ideas to prove the Hanna Neumann Conjecture of the 1950s; in fact, he proves a strengthened form of the conjecture.
Author: C. M. Campbell
Publisher: Cambridge University Press
ISBN: 1108602835
Category : Mathematics
Languages : en
Pages : 510
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Book Description
This volume arises from the 2017 edition of the long-running 'Groups St Andrews' conference series and consists of expository papers from leading researchers in all areas of group theory. It provides a snapshot of the state-of-the-art in the field, and it will be a valuable resource for researchers and graduate students.
Author: Paul Seidel
Publisher: American Mathematical Soc.
ISBN: 1470410974
Category : Mathematics
Languages : en
Pages : 142
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Book Description
The author proves Kontsevich's form of the mirror symmetry conjecture for (on the symplectic geometry side) a quartic surface in C .
Author: Svante Janson
Publisher: American Mathematical Soc.
ISBN: 1470414651
Category : Mathematics
Languages : en
Pages : 124
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Book Description
The authors define the :th moment of a Banach space valued random variable as the expectation of its :th tensor power; thus the moment (if it exists) is an element of a tensor power of the original Banach space. The authors study both the projective and injective tensor products, and their relation. Moreover, in order to be general and flexible, we study three different types of expectations: Bochner integrals, Pettis integrals and Dunford integrals.
Author: Weiwei Ao
Publisher: American Mathematical Soc.
ISBN: 1470415437
Category : Mathematics
Languages : en
Pages : 100
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Book Description
Click here to view the abstract. IntroductionProof of Theorem 1.1 in the caseProof of Theorem 1.1 in the caseAppendixBibliography
Author: P. Cannarsa
Publisher: American Mathematical Soc.
ISBN: 1470414961
Category : Mathematics
Languages : en
Pages : 225
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Book Description
Degenerate parabolic operators have received increasing attention in recent years because they are associated with both important theoretical analysis, such as stochastic diffusion processes, and interesting applications to engineering, physics, biology, and economics. This manuscript has been conceived to introduce the reader to global Carleman estimates for a class of parabolic operators which may degenerate at the boundary of the space domain, in the normal direction to the boundary. Such a kind of degeneracy is relevant to study the invariance of a domain with respect to a given stochastic diffusion flow, and appears naturally in climatology models.
Author: Timothy C. Burness,
Publisher: American Mathematical Soc.
ISBN: 1470414945
Category : Mathematics
Languages : en
Pages : 100
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Book Description
Let be a simple classical algebraic group over an algebraically closed field of characteristic with natural module . Let be a closed subgroup of and let be a non-trivial irreducible tensor-indecomposable -restricted rational -module such that the restriction of to is irreducible. In this paper the authors classify the triples of this form, where is a disconnected maximal positive-dimensional closed subgroup of preserving a natural geometric structure on .
Author: Tetsu Mizumachi
Publisher: American Mathematical Soc.
ISBN: 1470414244
Category : Mathematics
Languages : en
Pages : 110
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Book Description
The author proves nonlinear stability of line soliton solutions of the KP-II equation with respect to transverse perturbations that are exponentially localized as . He finds that the amplitude of the line soliton converges to that of the line soliton at initial time whereas jumps of the local phase shift of the crest propagate in a finite speed toward . The local amplitude and the phase shift of the crest of the line solitons are described by a system of 1D wave equations with diffraction terms.
Author: M. Dickmann
Publisher: American Mathematical Soc.
ISBN: 1470414686
Category : Mathematics
Languages : en
Pages : 148
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Book Description
In this monograph the authors extend the classical algebraic theory of quadratic forms over fields to diagonal quadratic forms with invertible entries over broad classes of commutative, unitary rings where is not a sum of squares and is invertible. They accomplish this by: (1) Extending the classical notion of matrix isometry of forms to a suitable notion of -isometry, where is a preorder of the given ring, , or . (2) Introducing in this context three axioms expressing simple properties of (value) representation of elements of the ring by quadratic forms, well-known to hold in the field case.
Author: Hongzi Cong
Publisher: American Mathematical Soc.
ISBN: 1470416573
Category : Mathematics
Languages : en
Pages : 100
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Book Description
The authors prove the long time stability of KAM tori (thus quasi-periodic solutions) for nonlinear Schrödinger equation subject to Dirichlet boundary conditions , where is a real Fourier multiplier. More precisely, they show that, for a typical Fourier multiplier , any solution with the initial datum in the -neighborhood of a KAM torus still stays in the -neighborhood of the KAM torus for a polynomial long time such as for any given with , where is a constant depending on and as .
