scholarly journals On the intersection ring of graph manifolds

2016 ◽  
Vol 369 (2) ◽  
pp. 1185-1203 ◽  
Author(s):  
Margaret I. Doig ◽  
Peter D. Horn
Keyword(s):  
Intersection Ring ◽  
Graph Manifolds

scholarly journals Conjugacy Problem in the Fundamental Groups of High-Dimensional Graph Manifolds

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1330
Author(s):  
Raeyong Kim
Keyword(s):  
Group Structure ◽  
Conjugacy Problem ◽  
High Dimensional ◽  
Fundamental Groups ◽  
Graph Manifold ◽  
Solvable Word Problem ◽  
Algorithmic Problems ◽  
Graph Manifolds ◽  
Dimensional Graph ◽  
Solvable Word

The conjugacy problem for a group G is one of the important algorithmic problems deciding whether or not two elements in G are conjugate to each other. In this paper, we analyze the graph of group structure for the fundamental group of a high-dimensional graph manifold and study the conjugacy problem. We also provide a new proof for the solvable word problem.

scholarly journals Graph manifolds, left-orderability and amalgamation

2013 ◽  
Vol 13 (4) ◽  
pp. 2347-2368 ◽  
Author(s):  
Adam Clay ◽  
Tye Lidman ◽  
Liam Watson
Keyword(s):  
Graph Manifolds

scholarly journals Graph manifolds with boundary are virtually special

2013 ◽  
Vol 7 (2) ◽  
pp. 419-435 ◽  
Author(s):  
Piotr Przytycki ◽  
Daniel T. Wise
Keyword(s):  
Manifolds With Boundary ◽  
Graph Manifolds

scholarly journals Integral approximation of simplicial volume of graph manifolds

2019 ◽  
Vol 51 (4) ◽  
pp. 715-731 ◽  
Author(s):  
Daniel Fauser ◽  
Stefan Friedl ◽  
Clara Löh
Keyword(s):  
Simplicial Volume ◽  
Integral Approximation ◽  
Graph Manifolds

scholarly journals The Asymptotics of the Higher Dimensional Reidemeister Torsion for Exceptional Surgeries Along Twist Knots

2018 ◽  
Vol 61 (1) ◽  
pp. 211-224 ◽  
Author(s):  
Anh T. Tran ◽  
Yoshikazu Yamaguchi
Keyword(s):  
Asymptotic Behavior ◽  
Reidemeister Torsion ◽  
Graph Manifold ◽  
Higher Dimensional ◽  
Graph Manifolds

AbstractWe determine the asymptotic behavior of the higher dimensional Reidemeister torsion for the graph manifolds obtained by exceptional surgeries along twist knots. We show that all irreducible SL2()-representations of the graph manifold are induced by irreducible metabelian representations of the twist knot group. We also give the set of the limits of the leading coeõcients in the higher dimensional Reidemeister torsion explicitly.

scholarly journals On Rational Equivalence in Tropical Geometry

2016 ◽  
Vol 68 (2) ◽  
pp. 241-257 ◽  
Author(s):  
Lars Allermann ◽  
Simon Hampe ◽  
Johannes Rau
Keyword(s):  
Tropical Geometry ◽  
Chow Groups ◽  
Independent Interest ◽  
Main Step ◽  
Rational Equivalence ◽  
Basic Properties ◽  
Boundary Points ◽  
Intersection Ring ◽  
Tropical Varieties

AbstractThis article discusses the concept of rational equivalence in tropical geometry (and replaces an older, imperfect version). We give the basic definitions in the context of tropical varieties without boundary points and prove some basic properties. We then compute the “bounded” Chow groups of Rn by showing that they are isomorphic to the group of fan cycles. The main step in the proof is of independent interest. We show that every tropical cycle in Rn is a sum of (translated) fan cycles. This also proves that the intersection ring of tropical cycles is generated in codimension 1 (by hypersurfaces).

scholarly journals On the intersection ring of compact three manifolds

Topology ◽  
1975 ◽  
Vol 14 (3) ◽  
pp. 275-277 ◽  
Author(s):  
Dennis Sullivan
Keyword(s):  
Intersection Ring
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