Results 1 to 10 of about 61,201 (126)
, 2013 The chapter provides an introduction to the basic concepts of Algebraic Topology with an emphasis on motivation from applications in the physical sciences.
Robins, Vanessa
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Homology and K-theory of the Bianchi groups [PDF]
, 2011 We reveal a correspondence between the homological torsion of the Bianchi groups and new geometric invariants, which are effectively computable thanks to their action on hyperbolic space.
Rahm, Alexander D.
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Algebraic K-theory of group rings and the cyclotomic trace map
, 2016 We prove that the Farrell-Jones assembly map for connective algebraic K-theory is rationally injective, under mild homological finiteness conditions on the group and assuming that a weak version of the Leopoldt-Schneider conjecture holds for cyclotomic ...
Lueck, Wolfgang +3 more
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Compactness results in Symplectic Field Theory
, 2003 This is one in a series of papers devoted to the foundations of Symplectic Field Theory sketched in [Y Eliashberg, A Givental and H Hofer, Introduction to Symplectic Field Theory, Geom. Funct. Anal. Special Volume, Part II (2000) 560--673].
Bourgeois, F +4 more
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On a nilpotence conjecture of J.P. May [PDF]
, 2015 We prove a conjecture of J.P. May concerning the nilpotence of elements in ring spectra with power operations, i.e., $H_\infty$-ring spectra. Using an explicit nilpotence bound on the torsion elements in $K(n)$-local $H_\infty$-algebras over $E_n$, we ...
Mathew, Akhil +2 more
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A super-analogue of Kontsevich's theorem on graph homology
, 2005 In this paper we will prove a super-analogue of a well-known result by Kontsevich which states that the homology of a certain complex which is generated by isomorphism classes of oriented graphs can be calculated as the Lie algebra homology of an ...
A. Schwarz +10 more
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Computational methods for higher real K-theory with applications to tmf [PDF]
, 2006 Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2006.Includes bibliographical references (p. 67-69).We begin by present a new Hopf algebra which can be used to compute the tmf homology of a space or spectrum at the prime 3 ...
Hill, Michael Anthony, Ph. D. Massachusetts Institute of Technology
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Topology of random simplicial complexes: a survey
, 2013 This expository article is based on a lecture from the Stanford Symposium on Algebraic Topology: Application and New Directions, held in honor of Gunnar Carlsson, Ralph Cohen, and Ib Madsen.Comment: After revisions, now 21 pages, 5 ...
Kahle, Matthew
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Open-closed field theories, string topology, and Hochschild homology
, 2009 In this expository paper we discuss a project regarding the string topology of a manifold, that was inspired by recent work of Moore-Segal, Costello, and Hopkins and Lurie, on "open-closed topological conformal field theories".
Blumberg, Andrew J. +2 more
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, 2002 In 1983, Donaldson shocked the topology world by using instantons from physics to prove new theorems about four-dimensional manifolds, and he developed new topological invariants.
KEVIN IGA, Seiberg N.
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