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Distinguishing links up to link-homotopy by algebraic methods
(ELSEVIER SCIENCE BV, 2010)
In this paper we provide a complete algebraic invariant of link-homotopy, that is, an algebraic invariant that distinguishes two links if and only if they are link-homotopic. The paper establishes a connection between the ...
Homotopy invariance through small stabilizations
(Springer, 2013-12)
We associate an algebra Γ∞(A) to each bornological algebra A . Each symmetric ideal SS of the algebra ℓ∞ of complex bounded sequences gives rise to an ideal IS(A) of Γ∞(A) . We show that all ideals arise in this ...
Homotopies for the generalized bar complex associated to certain 3-rowed Weyl modules
(Taylor & Francis IncPhiladelphiaEUA, 2006)
Trace class operators, regulators, and assembly maps in K-theory
(Univ Bielefeld, 2014)
Let G be a group and let KH be homotopy algebraic K-theory. We prove that if G satisfies the rational KH isomorphism conjecture for the group algebra L 1 [G] with coefficients in the algebra of trace-class operators in ...
Fixed points on torus fiber bundles over the circle
(Polish Acad Sciences Inst Mathematics, 2004-01-01)
The main purpose of this work is to study fixed points of fiber-preserving maps over the circle S-1 for spaces which axe fibrations over S-1 and the fiber is the torus T. For the case where the fiber is a surface with ...
Lie semigroups, homotopy, and global extensions of local homomorphisms
(Heldermann VerlagLemgo, 2015)
For a finite dimensional connected Lie group G with Lie algebra g, we consider a Lie-generating Lie wedge W [...] g. If S is a Lie subsemigroup of G with subtangent wedge W we give sufficient conditions for S to be free ...
On the geometry of moduli spaces of anti-self-dual connections
(Elsevier Science BvAmsterdamHolanda, 2012)
Algebraic geometry of topological spaces I
(Institut Mittag-Leffler, 2012-09)
We use techniques from both real and complex algebraic geometry to study K-theoretic and related invariants of the algebra C(X) of continuous complex-valued functions on a compact Hausdorff topological space X. For example, ...
On path-components of the mapping spaces M(Sm,FPn)
(2018-02-28)
We estimate the number of homotopy types of path-components of the mapping spaces (Formula presented.) from the m-sphere (Formula presented.) to the projective space (Formula presented.) for (Formula presented.) being the ...