scholarly journals Lefschetz fibrations and symplectic homology

2009 ◽  
Vol 13 (4) ◽  
pp. 1837-1904
Author(s):  
Mark McLean
2009 ◽  
Vol 13 (4) ◽  
pp. 1877-1944 ◽  
Author(s):  
Mark McLean

2016 ◽  
Vol 18 (7) ◽  
pp. 1515-1535 ◽  
Author(s):  
Mohan Bhupal ◽  
Burak Ozbagci

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

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.


2014 ◽  
Vol 173 ◽  
pp. 157-174
Author(s):  
Kenta Hayano ◽  
Masatoshi Sato

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