Title: Cobordism maps on PFH induced by Lefschetz fibration over higher genus base,
Abstract: In this note, we discuss the cobordism maps on periodic Floer homology(PFH)
induced by Lefschetz fibration. In the first part of the note, we define the
cobordism maps on PFH induced by Lefschetz fibration via Seiberg Witten theory
and the isomorphism between PFH and Seiberg Witten cohomology. The second part
is to define the cobordism maps induced by Lefschetz fibration provided that
the cobordism satisfies certain conditions. Under certain monotone assumptions,
we show that these two definitions in fact are equivalent.