کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4661304 | 1344420 | 2007 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Stabilizing Heegaard splittings of toroidal 3-manifolds
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Let T be a separating incompressible torus in a 3-manifold M. Assuming that a genus g Heegaard splitting VâªSW can be positioned nicely with respect to T (e.g., VâªSW is strongly irreducible), we obtain an upper bound on the number of stabi-lizations required for VâªSW to become isotopic to a Heegaard splitting which is an amalgamation along T. In particular, if T is a canonical torus in the JSJ decomposition of M, then the number of necessary stabilizations is at most 4gâ4. As a corollary, this establishes an upper bound on the number of stabilizations required for VâªSW and any Heegaard splitting obtained by a Dehn twist of VâªSW along T to become isotopic.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 154, Issue 9, 1 May 2007, Pages 1841-1853
Journal: Topology and its Applications - Volume 154, Issue 9, 1 May 2007, Pages 1841-1853
نویسندگان
Ryan Derby-Talbot,