کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4658948 1344296 2013 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Heegaard Floer homology and several families of Brieskorn spheres
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Heegaard Floer homology and several families of Brieskorn spheres
چکیده انگلیسی

In Ozsváth and Szabó (2003) [15], the authors gave a combinatorial description for the Heegaard Floer homology of boundaries of certain negative-definite plumbings. Némethi constructed a remarkable algorithm in Némethi (2005) [12], for executing these computations for almost-rational plumbings, and his work in Némethi (2007) [13], gives a formula computing the invariants for the Brieskorn homology spheres −Σ(p,q,pqn+1). Here we give a formula for HF+(−Σ(p,q,pqn−1)), generalizing the one for the n=1 case given in Borodzik and Némethi (2011) [3]. We also compute HF+ for the families −Σ(2,5,k) and −Σ(2,7,k).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 160, Issue 4, 1 March 2013, Pages 620-632