کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4665672 1633821 2014 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Heegaard Floer correction terms and rational genus bounds
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Heegaard Floer correction terms and rational genus bounds
چکیده انگلیسی

Given an element in the first homology of a rational homology 3-sphere Y, one can consider the minimal rational genus of all knots in this homology class. This defines a function Θ   on H1(Y;Z)H1(Y;Z), which was introduced by Turaev as an analogue of Thurston norm. We will give a lower bound for this function using the correction terms in Heegaard Floer homology. As a corollary, we show that Floer simple knots in L-spaces are genus minimizers in their homology classes, hence answer questions of Turaev and Rasmussen about genus minimizers in lens spaces.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 267, 20 December 2014, Pages 360–380
نویسندگان
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