Results 1 to 10 of about 2,752,382 (159)
Digital homotopy relations and digital homology theories [PDF]
, 2021 [EN] In this paper we prove results relating to two homotopy relations and four homology theories developed in the topology of digital images.We introduce a new type of homotopy relation for digitally continuous functions which we call ``strong homotopy.'
Staecker, P. Christopher
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Comparison between algebraic and topological K-theory of locally convex algebras [PDF]
, 2006 This paper is concerned with the algebraic K-theory of locally convex algebras stabilized by operator ideals, and its comparison with topological K-theory.
Cortiñas, Guillermo, Thom, Andreas
core +7 more sources
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.
core +5 more sources
, 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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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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Poincare duality for K-theory of equivariant complex projective spaces [PDF]
, 2007 We make explicit Poincare duality for the equivariant K-theory of equivariant complex projective spaces.
Adams +4 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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Complexes of Discrete Distributional Differential Forms and their Homology Theory [PDF]
, 2015 Complexes of discrete distributional differential forms are introduced into finite element exterior calculus. Thus we generalize a notion of Braess and Sch\"oberl, originally studied for a posteriori error estimation.
Licht, Martin Werner
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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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The chromatic polynomial of fatgraphs and its categorification [PDF]
, 2006 Motivated by Khovanov homology and relations between the Jones polynomial and graph polynomials, we construct a homology theory for embedded graphs from which the chromatic polynomial can be recovered as the Euler characteristic.
Bar-Natan +29 more
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