ScalingStacks

Remark 2.6 . [047V]

Original official author HTML, exact retained edition. Historical TeX conversion verdicts remain unchanged. Cited-edition alignment and mathematical self-containment are not assessed.

Complete original source context · Original author HTML

Remark 2.6.

Our Floer degree convention follows Joyce [41], but is opposite to that of Seidel [69] and many other symplectic geometry texts. In our convention, shifting the Lagrangian phase by k​πk\pi for k∈ℤk\in\mathbb{Z} is equivalent to considering the shifted object L⁡[k]L[k]. Thus a slight extension of the above is that if θL>θL′+l\theta_{L}>\theta_{L^{\prime}}+l, then

H​Fk​(L,L′)=H​Fk−l​(L,L′​[l])=0,k≤l.HF^{k}(L,L^{\prime})=HF^{k-l}(L,L^{\prime}[l])=0,\quad k\leq l.

Original mathematics by the credited authors. Source-backed reader collection; mathematical self-containment is not assessed.