Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Breen, Lawrence"'
Autor:
Breen, Lawrence, Mikhailov, Roman
Publikováno v:
Algebr. Geom. Topol. 11 (2011) 327-415
We develop a functorial approach to the study of the homotopy groups of spheres and Moore spaces $M(A,n)$, based on the Curtis spectral sequence and the decomposition of Lie functors as iterates of simpler functors such as the symmetric or exterior a
Externí odkaz:
http://arxiv.org/abs/0910.2817
Autor:
Breen, Lawrence
We discuss certain aspects of the combinatorial approach to the differential geometry of non-abelian gerbes, due to W. Messing and the author (arXiv:math.AG/0106083), and give a more direct derivation of the associated cocycle equations. This leads u
Externí odkaz:
http://arxiv.org/abs/0802.1833
Autor:
Breen, Lawrence
These notes discuss in an informal manner the construction and some properties of 1- and 2-gerbes. They are mainly based on the author's previous work in this area, which is reviewed here, and to some extent improved upon. The main emphasis is on the
Externí odkaz:
http://arxiv.org/abs/math/0611317
Autor:
Breen, Lawrence, Messing, William
We define in a global manner the notion of a connective structure for a gerbe on a space X. When the gerbe is endowed with trivializing data with respect to an open cover of X, we describe this connective structure in two separate ways, which extend
Externí odkaz:
http://arxiv.org/abs/math/0106083
Autor:
Breen, Lawrence, Messing, William
We extend to a scheme-theoretic context the notion of a combinatorial differential form, due to A.Kock in the framework of synthetic differential geometry. We show that group-valued combinatorial forms on a scheme may be identified, under very genera
Externí odkaz:
http://arxiv.org/abs/math/0005087
Autor:
Breen, Lawrence
We associate to a braided 2-stack ${\cal C}$ a torsor, endowed with a symmetric cube structure (or $\Sigma$-structure), whose triviality is equivalent to the existence on ${\cal C}$ of a fully symmetric monoidal structure. In order to perform the ana
Externí odkaz:
http://arxiv.org/abs/math/9810045
Autor:
Breen, Lawrence
We show that the obstruction to the existence of a strict symmetric monoidal structure on a monoidal stack $\cal C$ is determined by a commutator biextension associated to $\cal C$, and that this biextension is alternating under an additional hypothe
Externí odkaz:
http://arxiv.org/abs/math/9809104
Autor:
Breen, Lawrence, Messing, William
Publikováno v:
In Advances in Mathematics 2005 198(2):732-846
Autor:
Breen, Lawrence, Messing, William
Publikováno v:
In Advances in Mathematics 25 December 2001 164(2):203-282