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Nine papers published by Geometry & Topology Publications
Posted:
Jun 13, 2012 5:22 PM
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Seven papers have been published by Algebraic & Geometric Topology.
Papers (1)-(4) complete issue 2 of Volume 12 and papers (5)-(7) open
issue 3.
(1) Algebraic & Geometric Topology 12 (2012) 1165-1181
Simplicial volume of Q-rank one locally symmetric spaces
covered by the product of R-rank one symmetric spaces
by Sungwoon Kim and Inkang Kim
URL: http://www.msp.warwick.ac.uk/agt/2012/12-02/p043.xhtml
DOI: 10.2140/agt.2012.12.1165
(2) Algebraic & Geometric Topology 12 (2012) 1183-1210
Rational tangle surgery and Xer recombination on catenanes
by Isabel K Darcy, Kai Ishihara, Ram K Medikonduri and Koya
Shimokawa
URL: http://www.msp.warwick.ac.uk/agt/2012/12-02/p044.xhtml
DOI: 10.2140/agt.2012.12.1183
(3) Algebraic & Geometric Topology 12 (2012) 1211-1238
Homotopy normal maps
by Matan Prezma
URL: http://www.msp.warwick.ac.uk/agt/2012/12-02/p045.xhtml
DOI: 10.2140/agt.2012.12.1211
(4) Algebraic & Geometric Topology 12 (2012) 1239-1263
On the augmentation quotients of the IA-automorphism
group of a free group
by Takao Satoh
URL: http://www.msp.warwick.ac.uk/agt/2012/12-02/p046.xhtml
DOI: 10.2140/agt.2012.12.1239
(5) Algebraic & Geometric Topology 12 (2012) 1265-1272
Computation-free presentation of the fundamental group of
generic (p,q)-torus curves
by Enrique Artal Bartolo, Jose Ignacio Cogolludo Agustin
and Jorge Ortigas-Galindo
URL: http://www.msp.warwick.ac.uk/agt/2012/12-03/p047.xhtml
DOI: 10.2140/agt.2012.12.1265
(6) Algebraic & Geometric Topology 12 (2012) 1273-1299
On Legendrian graphs
by Danielle O'Donnol and Elena Pavelescu
URL: http://www.msp.warwick.ac.uk/agt/2012/12-03/p048.xhtml
DOI: 10.2140/agt.2012.12.1273
(7) Algebraic & Geometric Topology 12 (2012) 1301-1311
A Jorgensen-Thurston theorem for homomorphisms
by Yi Liu
URL: http://www.msp.warwick.ac.uk/agt/2012/12-03/p049.xhtml
DOI: 10.2140/agt.2012.12.1301
Two papers have been published by Geometry & Topology.
(8) Geometry & Topology 16 (2012) 1053-1120
Localization theorems in topological Hochschild homology
and topological cyclic homology
by Andrew J Blumberg and Michael A Mandell
URL: http://www.msp.warwick.ac.uk/gt/2012/16-02/p022.xhtml
DOI: 10.2140/gt.2012.16.1053
(9) Geometry & Topology 16 (2012) 1121-1169
Lagrangian spheres, symplectic surfaces and the symplectic
mapping class group
by Tian-Jun Li and Weiwei Wu
URL: http://www.msp.warwick.ac.uk/gt/2012/16-02/p023.xhtml
DOI: 10.2140/gt.2012.16.1121
Abstracts follow
(1) Simplicial volume of Q-rank one locally symmetric spaces
covered by the product of R-rank one symmetric spaces
by Sungwoon Kim and Inkang Kim
In this paper, we show that the simplicial volume of Q-rank one locally
symmetric spaces covered by the product of Q-rank one symmetric spaces
is strictly positive.
(2) Rational tangle surgery and Xer recombination on catenanes
by Isabel K Darcy, Kai Ishihara, Ram K Medikonduri and Koya
Shimokawa
The protein recombinase can change the knot type of circular DNA. The
action of a recombinase converting one knot into another knot is
normally mathematically modeled by band surgery. Band surgeries on a
2-bridge knot N((4mn-1)/2m) yielding a (2,2k)-torus link are
characterized. We apply this and other rational tangle surgery
results to analyze Xer recombination on DNA catenanes using the tangle
model for protein-bound DNA.
(3) Homotopy normal maps
by Matan Prezma
A group property made homotopical is a property of the corresponding
classifying space. This train of thought can lead to a homotopical
definition of normal maps between topological groups (or loop spaces).
In this paper we deal with such maps, called homotopy normal maps,
which are topological group maps from N to G G being "normal" in that
they induce a compatible topological group structure on the homotopy
quotient G//N:=EN x_N G. We develop the notion of homotopy normality
and its basic properties, and show it is invariant under homotopy
monoidal endofunctors of topological spaces, eg localizations and
completions. In the course of characterizing normality, we define a
notion of a homotopy action of a loop space on a space phrased in
terms of Segal's 1-fold delooping machine. Homotopy actions are
"flexible" in the sense they are invariant under homotopy monoidal
functors, but can also rigidify to (strict) group actions.
(4) On the augmentation quotients of the IA-automorphism group
of a free group
by Takao Satoh
We study the augmentation quotients of the IA-automorphism group of a
free group and a free metabelian group. First, for any group G, we
construct a lift of the k-th Johnson homomorphism of the automorphism
group of G to the k-th augmentation quotient of the IA-automorphism
group of G. Then we study the images of these homomorphisms for the
case where G is a free group and a free metabelian group. As a
corollary, we detect a Z-free part in each of the augmentation
quotients, which can not be detected by the abelianization of the
IA-automorphism group.
(5) Computation-free presentation of the fundamental group of
generic (p,q)-torus curves
by Enrique Artal Bartolo, Jose Ignacio Cogolludo Agustin
and Jorge Ortigas-Galindo
We present a new method for computing fundamental groups of curve
complements using a variation of the Zariski-van Kampen method on
general ruled surfaces. As an application we give an alternative
(computation-free) proof for the fundamental group of generic
(p,q)-torus curves.
(6) On Legendrian graphs
by Danielle O'Donnol and Elena Pavelescu
We investigate Legendrian graphs in (R^3, xi_std). We extend the
Thurston--Bennequin number and the rotation number to Legendrian
graphs. We prove that a graph can be Legendrian realized with all its
cycles Legendrian unknots with tb=-1 and rot=0 if and only if it does
not contain K_4 as a minor. We show that the pair (tb, rot) does not
characterize a Legendrian graph up to Legendrian isotopy if the graph
contains a cut edge or a cut vertex. When we restrict to planar
spatial graphs, a pair (tb, rot) determines two Legendrian isotopy
classes of the lollipop graph and a pair (tb, rot) determines four
Legendrian isotopy classes of the handcuff graph.
(7) A Jorgensen-Thurston theorem for homomorphisms
by Yi Liu
We provide a description of the structure of the set of homomorphisms
from a finitely generated group to any torsion-free (3-dimensional)
Kleinian group with uniformly bounded finite covolume. This is
analogous to the Jorgensen-Thurston Theorem in hyperbolic geometry.
(8) Localization theorems in topological Hochschild homology
and topological cyclic homology
by Andrew J Blumberg and Michael A Mandell
We construct localization cofibration sequences for the topological
Hochschild homology (THH) and topological cyclic homology (TC) of
small spectral categories. Using a global construction of the THH and
TC of a scheme in terms of the perfect complexes in a spectrally
enriched version of the category of unbounded complexes, the sequences
specialize to localization cofibration sequences associated to the
inclusion of an open subscheme. These are the targets of the
cyclotomic trace from the localization sequence of Thomason-Trobaugh
in K-theory. We also deduce versions of Thomason's blow-up formula
and the projective bundle formula for THH and TC.
(9) Lagrangian spheres, symplectic surfaces and the symplectic
mapping class group
by Tian-Jun Li and Weiwei Wu
Given a Lagrangian sphere in a symplectic 4-manifold (M,omega) with
b^+=1, we find embedded symplectic surfaces intersecting it
minimally. When the Kodaira dimension kappa of (M,omega) is -infty,
this minimal intersection property turns out to be very powerful for
both the uniqueness and existence problems of Lagrangian spheres. On
the uniqueness side, for a symplectic rational manifold and any class
which is not characteristic, we show that homologous Lagrangian
spheres are smoothly isotopic, and when the Euler number is less than
8, we generalize Hind and Evans' Hamiltonian uniqueness in the
monotone case. On the existence side, when kappa=-infinity, we give a
characterization of classes represented by Lagrangian spheres, which
enables us to describe the non-Torelli part of the symplectic mapping
class group.
Geometry & Topology Publications is an imprint of
Mathematical Sciences Publishers
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