Results 21 to 30 of about 303,113 (41)
The homology of simplicial complement and the cohomology of the moment-angle complexes [PDF]
, 2010 A simplicial complement P is a sequence of subsets of [m] and the simplicial complement P corresponds to a unique simplicial complex K with vertices in [m]. In this paper, we defined the homology of a simplicial complement $H_{i,\sigma}(\Lambda^{*,*}[P],
Wang, Xiangjun, Zheng, Qibing
core
Constructing and Deconstructing Group Actions [PDF]
arXiv, 2002 We survey some results concerning finite group actions on products of spheres.
arxiv
The symmetrized topological complexity of the circle [PDF]
arXiv, 2017 We determine the symmetrized topological complexity of the circle, using primarily just general topology.
arxiv
Topological equivalence to a projection [PDF]
arXiv, 2016 We present a necessary and sufficient condition for the topological equivalence of a continuous function on a plane to a projection onto one of coordinates.
arxiv
Homology of the completion of a Lie algebra [PDF]
arXiv, 2021 We prove that the second homology group of the completion of an infinite dimensional free Lie algebra is uncountable.
arxiv
Algebraic K-theory of strict ring spectra
, 2014 We view strict ring spectra as generalized rings. The study of their algebraic K-theory is motivated by its applications to the automorphism groups of compact manifolds.
Rognes, John
core
The topological period-index conjecture [PDF]
arXiv, 2020 We prove the topological analogue of the period-index conjecture in each dimension away from a small set of primes.
arxiv
The Auslander-Reiten quiver of a Poincare duality space [PDF]
arXiv, 2003 In a previous paper, math.AT/0304079, Auslander-Reiten triangles and quivers were introduced into algebraic topology. This paper shows that over a Poincare duality space, each component of the Auslander-Reiten quiver is isomorphic to ZA_{\infty}.
arxiv
Derived Algebraic Geometry VI: E_k Algebras [PDF]
arXiv, 2009 In this paper, we study algebras over the little cubes operads introduced by Boardman and Vogt, using the formalism of higher category theory.
arxiv