Nonisomorphic Lefschetz fibrations on knot surgery 4-manifolds

2009 ◽  
Vol 345 (3) ◽  
pp. 581-597 ◽  
Author(s):  
Jongil Park ◽  
Ki-Heon Yun
Keyword(s):  
Lefschetz Fibrations ◽  
Knot Surgery

scholarly journals Symplectic fillings of lens spaces as Lefschetz fibrations

2016 ◽  
Vol 18 (7) ◽  
pp. 1515-1535 ◽  
Author(s):  
Mohan Bhupal ◽  
Burak Ozbagci
Keyword(s):  
Lens Spaces ◽  
Lefschetz Fibrations

scholarly journals Simplified broken Lefschetz fibrations and trisections of 4-manifolds

2018 ◽  
Vol 115 (43) ◽  
pp. 10894-10900 ◽  
Author(s):  
R. İnanç Baykur ◽  
Osamu Saeki
Keyword(s):  
Lefschetz Fibrations

Shapes of 4D spaces can be studied effectively via maps to standard surfaces. We explain, and illustrate by quintessential examples, how to simplify such generic maps on 4-manifolds topologically, to derive simple decompositions into much better-understood manifold pieces. Our methods not only allow us to produce various interesting families of examples but also to establish a correspondence between simplified broken Lefschetz fibrations and simplified trisections of closed, oriented 4-manifolds.

scholarly journals Fintushel-Stern knot surgery in torus bundles

2017 ◽  
Vol 10 (1) ◽  
pp. 164-177
Author(s):  
Yi Ni
Keyword(s):  
Torus Bundles ◽  
Knot Surgery
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