The Plus Construction

1991 ◽  
pp. 21-34
Author(s):  
V. Srinivas
Keyword(s):  
Plus Construction

scholarly journals A controlled plus construction for crumpled laminations

1994 ◽  
Vol 342 (2) ◽  
pp. 807-826
Author(s):  
R. J. Daverman ◽  
F. C. Tinsley
Keyword(s):  
Plus Construction

On the quotients of mapping class groups of surfaces by the Johnson subgroups

2019 ◽  
pp. 1-23
Author(s):  
TOMÁŠ ZEMAN
Keyword(s):  
Boundary Component ◽  
Loop Space ◽  
Mapping Class Groups ◽  
Mapping Class ◽  
Classifying Spaces ◽  
Class Groups ◽  
Loop Spaces ◽  
Infinite Loop Spaces ◽  
Infinite Loop ◽  
Plus Construction

Abstract We study quotients of mapping class groups ${\Gamma _{g,1}}$ of oriented surfaces with one boundary component by the subgroups ${{\cal I}_{g,1}}(k)$ in the Johnson filtrations, and we show that the stable classifying spaces ${\mathbb {Z}} \times B{({\Gamma _\infty }/{{\cal I}_\infty }(k))^ + }$ after plus-construction are infinite loop spaces, fitting into a tower of infinite loop space maps that interpolates between the infinite loop spaces ${\mathbb {Z}} \times B\Gamma _\infty ^ + $ and ${\mathbb {Z}} \times B{({\Gamma _\infty }/{{\cal I}_\infty }(1))^ + } \simeq {\mathbb {Z}} \times B{\rm{Sp}}{({\mathbb {Z}})^ + }$ . We also show that for each level k of the Johnson filtration, the homology of these quotients with suitable systems of twisted coefficients stabilises as the genus of the surface goes to infinity.

African Energy-Plus Construction—A Case Study of House Rhino

2016 ◽  
pp. 95-109
Author(s):  
Christopher Allen ◽  
Katharina Crafford
Keyword(s):  
Energy Plus ◽  
Plus Construction

scholarly journals Spherical alterations of handles: embedding the manifold plus construction

2013 ◽  
Vol 13 (1) ◽  
pp. 35-60 ◽  
Author(s):  
Craig R Guilbault ◽  
Frederick C Tinsley
Keyword(s):  
Plus Construction

THE PLUS-CONSTRUCTION AND FIBRATIONS

1982 ◽  
Vol 33 (2) ◽  
pp. 149-157 ◽  
Author(s):  
A. J. BERRICK
Keyword(s):  
Plus Construction

The MultipleQ-Construction

1987 ◽  
Vol 39 (5) ◽  
pp. 1174-1209 ◽  
Author(s):  
J. F. Jardine
Keyword(s):  
Loop Space ◽  
Space Structure ◽  
Exact Category ◽  
Infinite Loop ◽  
Plus Construction ◽  
Infinite Loop Space

Products, and closely associated questions of infinite loop space structure, have always been a source of trouble in higher algebraicK-theory. From the first description of the product in terms of the plus construction, up to the current tendency to let the infinite loop space machines do it, the constructions have never been completely explicit, and many mistakes have resulted.Since Waldhausen introduced the doubleQ-construction [16], there has been the tantalizing prospect of an infinite loop space structure for the nerveof theQ-constructionof an exact category, which would be understandable to the man on the street, and which also would be well-behaved with respect to products induced by biexact pairings. Gillet [3] showed that most of these conditions could be met with his introduction of the multipleQ-construction. Shimakawa [14] filled in some of the details later.

scholarly journals Bestvina–Brady groups and the plus construction

1999 ◽  
Vol 127 (3) ◽  
pp. 487-493 ◽  
Author(s):  
JAMES HOWIE
Keyword(s):  
Plus Construction

The Plus Construction

1996 ◽  
pp. 18-30
Author(s):  
V. Srinivas
Keyword(s):  
Plus Construction

The Plus Construction and Applications

1994 ◽  
pp. 273-287
Author(s):  
Alejandro Adem ◽  
R. James Milgram
Keyword(s):  
Plus Construction
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