Degree Spectra Of Relations On A Cone
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Degree Spectra Of Relations On A Cone
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Author : Matthew Harrison-Trainor
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-05-29
Degree Spectra Of Relations On A Cone written by Matthew Harrison-Trainor and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-29 with Mathematics categories.
Let $\mathcal A$ be a mathematical structure with an additional relation $R$. The author is interested in the degree spectrum of $R$, either among computable copies of $\mathcal A$ when $(\mathcal A,R)$ is a ``natural'' structure, or (to make this rigorous) among copies of $(\mathcal A,R)$ computable in a large degree d. He introduces the partial order of degree spectra on a cone and begin the study of these objects. Using a result of Harizanov--that, assuming an effectiveness condition on $\mathcal A$ and $R$, if $R$ is not intrinsically computable, then its degree spectrum contains all c.e. degrees--the author shows that there is a minimal non-trivial degree spectrum on a cone, consisting of the c.e. degrees.
Degree Spectra Of Relations On A Cone
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Author : Matthew Harrison-Trainor
language : en
Publisher:
Release Date : 2018
Degree Spectra Of Relations On A Cone written by Matthew Harrison-Trainor and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Angles (Geometry) categories.
On The Geometric Side Of The Arthur Trace Formula For The Symplectic Group Of Rank 2
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Author : Werner Hoffmann
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-10-03
On The Geometric Side Of The Arthur Trace Formula For The Symplectic Group Of Rank 2 written by Werner Hoffmann and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-03 with Mathematics categories.
The authors study the non-semisimple terms in the geometric side of the Arthur trace formula for the split symplectic similitude group and the split symplectic group of rank over any algebraic number field. In particular, they express the global coefficients of unipotent orbital integrals in terms of Dedekind zeta functions, Hecke -functions, and the Shintani zeta function for the space of binary quadratic forms.
Structure And Randomness In Computability And Set Theory
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Author : Douglas Cenzer
language : en
Publisher: World Scientific
Release Date : 2020-10-02
Structure And Randomness In Computability And Set Theory written by Douglas Cenzer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-02 with Mathematics categories.
This volume presents some exciting new developments occurring on the interface between set theory and computability as well as their applications in algebra, analysis and topology. These include effective versions of Borel equivalence, Borel reducibility and Borel determinacy. It also covers algorithmic randomness and dimension, Ramsey sets and Ramsey spaces. Many of these topics are being discussed in the NSF-supported annual Southeastern Logic Symposium.
Turing S Legacy
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Author : Rod Downey
language : en
Publisher: Cambridge University Press
Release Date : 2014-05
Turing S Legacy written by Rod Downey and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05 with Biography & Autobiography categories.
A collection of essays celebrating the influence of Alan Turing's work in logic, computer science and related areas.
Diophantine Approximation And The Geometry Of Limit Sets In Gromov Hyperbolic Metric Spaces
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Author : Lior Fishman
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-08-09
Diophantine Approximation And The Geometry Of Limit Sets In Gromov Hyperbolic Metric Spaces written by Lior Fishman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-09 with Mathematics categories.
In this paper, the authors provide a complete theory of Diophantine approximation in the limit set of a group acting on a Gromov hyperbolic metric space. This summarizes and completes a long line of results by many authors, from Patterson's classic 1976 paper to more recent results of Hersonsky and Paulin (2002, 2004, 2007). The authors consider concrete examples of situations which have not been considered before. These include geometrically infinite Kleinian groups, geometrically finite Kleinian groups where the approximating point is not a fixed point of any element of the group, and groups acting on infinite-dimensional hyperbolic space. Moreover, in addition to providing much greater generality than any prior work of which the authors are aware, the results also give new insight into the nature of the connection between Diophantine approximation and the geometry of the limit set within which it takes place. Two results are also contained here which are purely geometric: a generalization of a theorem of Bishop and Jones (1997) to Gromov hyperbolic metric spaces, and a proof that the uniformly radial limit set of a group acting on a proper geodesic Gromov hyperbolic metric space has zero Patterson–Sullivan measure unless the group is quasiconvex-cocompact. The latter is an application of a Diophantine theorem.
An So 3 Monopole Cobordism Formula Relating Donaldson And Seiberg Witten Invariants
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Author : Paul Feehan
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-01-08
An So 3 Monopole Cobordism Formula Relating Donaldson And Seiberg Witten Invariants written by Paul Feehan and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-08 with Mathematics categories.
The authors prove an analogue of the Kotschick–Morgan Conjecture in the context of monopoles, obtaining a formula relating the Donaldson and Seiberg–Witten invariants of smooth four-manifolds using the -monopole cobordism. The main technical difficulty in the -monopole program relating the Seiberg–Witten and Donaldson invariants has been to compute intersection pairings on links of strata of reducible monopoles, namely the moduli spaces of Seiberg–Witten monopoles lying in lower-level strata of the Uhlenbeck compactification of the moduli space of monopoles. In this monograph, the authors prove—modulo a gluing theorem which is an extension of their earlier work—that these intersection pairings can be expressed in terms of topological data and Seiberg–Witten invariants of the four-manifold. Their proofs that the -monopole cobordism yields both the Superconformal Simple Type Conjecture of Moore, Mariño, and Peradze and Witten's Conjecture in full generality for all closed, oriented, smooth four-manifolds with and odd appear in earlier works.
On Space Time Quasiconcave Solutions Of The Heat Equation
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Author : Chuanqiang Chen
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-06-10
On Space Time Quasiconcave Solutions Of The Heat Equation written by Chuanqiang Chen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-10 with Mathematics categories.
In this paper the authors first obtain a constant rank theorem for the second fundamental form of the space-time level sets of a space-time quasiconcave solution of the heat equation. Utilizing this constant rank theorem, they obtain some strictly convexity results of the spatial and space-time level sets of the space-time quasiconcave solution of the heat equation in a convex ring. To explain their ideas and for completeness, the authors also review the constant rank theorem technique for the space-time Hessian of space-time convex solution of heat equation and for the second fundamental form of the convex level sets for harmonic function.
Quiver Grassmannians Of Extended Dynkin Type D Part I Schubert Systems And Decompositions Into Affine Spaces
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Author : Oliver Lorscheid
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-12-02
Quiver Grassmannians Of Extended Dynkin Type D Part I Schubert Systems And Decompositions Into Affine Spaces written by Oliver Lorscheid and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-02 with Education categories.
Let Q be a quiver of extended Dynkin type D˜n. In this first of two papers, the authors show that the quiver Grassmannian Gre–(M) has a decomposition into affine spaces for every dimension vector e– and every indecomposable representation M of defect −1 and defect 0, with the exception of the non-Schurian representations in homogeneous tubes. The authors characterize the affine spaces in terms of the combinatorics of a fixed coefficient quiver for M. The method of proof is to exhibit explicit equations for the Schubert cells of Gre–(M) and to solve this system of equations successively in linear terms. This leads to an intricate combinatorial problem, for whose solution the authors develop the theory of Schubert systems. In Part 2 of this pair of papers, they extend the result of this paper to all indecomposable representations M of Q and determine explicit formulae for the F-polynomial of M.
A Morse Bott Approach To Monopole Floer Homology And The Triangulation Conjecture
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Author : Francesco Lin
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-10-03
A Morse Bott Approach To Monopole Floer Homology And The Triangulation Conjecture written by Francesco Lin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-03 with Mathematics categories.
In the present work the author generalizes the construction of monopole Floer homology due to Kronheimer and Mrowka to the case of a gradient flow with Morse-Bott singularities. Focusing then on the special case of a three-manifold equipped equipped with a structure which is isomorphic to its conjugate, the author defines the counterpart in this context of Manolescu's recent Pin(2)-equivariant Seiberg-Witten-Floer homology. In particular, the author provides an alternative approach to his disproof of the celebrated Triangulation conjecture.