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math.GT2013★ 19 cited
Multisections of Lefschetz fibrations and topology of symplectic 4-manifolds
R. Inanc Baykur, Kenta Hayano
We initiate a study of positive multisections of Lefschetz fibrations via positive factorizations in framed mapping class groups of surfaces. Using our methods, one can effectively…
math.DG2013★ 3 cited
C^\infty-logarithmic transformations and generalized complex structures
Ryushi Goto, Kenta Hayano
Applying logarithmic transformations along 2-tori, we construct a generalized complex structure J_n with n type changing luci for every on genus 1-Lefschetz fibrations wi…