Geodesic
Classification of torus bundles that bound rational homology circles
Simone, Jonathan1
1 School of Mathematics, Georgia Institute of Technology, Atlanta, GA, United States
Algebraic and Geometric Topology, Tome 23 (2023) no. 6, pp. 2449-2518

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We completely classify orientable torus bundles over the circle that bound smooth 4–manifolds with the rational homology of the circle. Along the way, we classify certain integral surgeries along chain links that bound rational homology 4–balls and explore a connection to 3–braid closures whose double branched covers bound rational homology 4–balls.

DOI : 10.2140/agt.2023.23.2449
Keywords: rational homology circles, torus bundles, rational homology balls, 3–braids

Simone, Jonathan 1

1 School of Mathematics, Georgia Institute of Technology, Atlanta, GA, United States 
@article{10_2140_agt_2023_23_2449,
     author = {Simone, Jonathan},
     title = {Classification of torus bundles that bound rational homology circles},
     journal = {Algebraic and Geometric Topology},
     pages = {2449--2518},
     publisher = {mathdoc},
     volume = {23},
     number = {6},
     year = {2023},
     doi = {10.2140/agt.2023.23.2449},
     url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2023.23.2449/}
}
TY  - JOUR
AU  - Simone, Jonathan
TI  - Classification of torus bundles that bound rational homology circles
JO  - Algebraic and Geometric Topology
PY  - 2023
SP  - 2449
EP  - 2518
VL  - 23
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.2140/agt.2023.23.2449/
DO  - 10.2140/agt.2023.23.2449
ID  - 10_2140_agt_2023_23_2449
ER  - 
%0 Journal Article
%A Simone, Jonathan
%T Classification of torus bundles that bound rational homology circles
%J Algebraic and Geometric Topology
%D 2023
%P 2449-2518
%V 23
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.2140/agt.2023.23.2449/
%R 10.2140/agt.2023.23.2449
%F 10_2140_agt_2023_23_2449
Simone, Jonathan. Classification of torus bundles that bound rational homology circles. Algebraic and Geometric Topology, Tome 23 (2023) no. 6, pp. 2449-2518. doi: 10.2140/agt.2023.23.2449

Cité par Sources :