Quantum products for mapping tori and the Atiyah-Floer conjecture

1999 ◽  
pp. 199-235 ◽  
Author(s):  
Dietmar A. Salamon
Keyword(s):  
Mapping Tori

scholarly journals Ranks of mapping tori via the curve complex

2019 ◽  
Vol 2019 (748) ◽  
pp. 153-172 ◽  
Author(s):  
Ian Biringer ◽  
Juan Souto
Keyword(s):  
Fundamental Group ◽  
Orientable Surface ◽  
Curve Complex ◽  
Mapping Torus ◽  
Closed Orientable Surface ◽  
Mapping Tori

Abstract We show that if ϕ is a homeomorphism of a closed, orientable surface of genus g, and ϕ has large translation distance in the curve complex, then the fundamental group of the mapping torus {M_{\phi}} has rank {2g+1} .

scholarly journals Toric actions in cosymplectic geometry

2019 ◽  
Vol 31 (4) ◽  
pp. 907-915 ◽  
Author(s):  
Giovanni Bazzoni ◽  
Oliver Goertsches
Keyword(s):  
Symplectic Manifolds ◽  
Cosymplectic Manifolds ◽  
Mapping Tori

Abstract We show that compact toric cosymplectic manifolds are mapping tori of equivariant symplectomorphisms of toric symplectic manifolds.

On the Reducibility and the η-Invariant of Periodic Automorphisms of Genus 2 Surface

1997 ◽  
Vol 06 (06) ◽  
pp. 827-831 ◽  
Author(s):  
Takayuki Morifuji
Keyword(s):  
Finite Order ◽  
Mapping Class Group ◽  
Class Group ◽  
Finite Subgroup ◽  
Mapping Class ◽  
Mapping Tori ◽  
Genus 2

We give a characterization for the reducibility of elements of any finite subgroup of the mapping class group of genus 2 surface in terms of the η-invariant of finite order mapping tori.

scholarly journals Computing Triangulations of Mapping Tori of Surface Homeomorphisms

2001 ◽  
Vol 10 (4) ◽  
pp. 571-581 ◽  
Author(s):  
Peter Brinkmann ◽  
Saul Schleimer
Keyword(s):  
Mapping Tori ◽  
Surface Homeomorphisms

scholarly journals Solving topological field theories on mapping tori

1996 ◽  
Vol 383 (2) ◽  
pp. 169-178
Author(s):  
Matthias Blau ◽  
Ian Jermyn ◽  
George Thompson
Keyword(s):  
Topological Field Theories ◽  
Field Theories ◽  
Mapping Tori ◽  
Topological Field
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