Comparing 2-handle additions to a genus 2 boundary component
نویسندگان
چکیده
منابع مشابه
Comparing 2-handle Additions to a Genus 2 Boundary Component
A theorem concerning the effects of attaching a 2–handle to a suture on the boundary of a sutured manifold is used to compare the effects of two 2-handle attachments to a genus 2 boundary component of a compact, orientable 3–manifold. We obtain a collection of results relating the euler characteristic of a surface in one of the resulting 3– manifolds to the intersection number of the two curves...
متن کاملBoundary reducible handle additions on simple 3 - manifolds
Let M be a simple manifold, and F be a component of ∂M of genus two. For a slope γ on F , we denote by M(γ) the manifold obtained by attaching a 2-handle to M along a regular neighborhood of γ on F . In this paper, we shall prove that there is at most one separating slope γ on F so that M(γ) is ∂-reducible.
متن کاملAdditions to the knowledge of the genus Geastrum in Iran
Fungi belonging to the genus Geastrum are known as earth stars due to different layers with specific alignment in fruit-bodies. In this paper four species of the genus Geastrum viz. G. coronatum, G. rufescens, G. saccatum and G. schmidelii were reported as new for Iran. Previously reported specimen, G. corollinum (as G. recolligens)was newly collected and was studied in details. Newly reported ...
متن کاملAdditions to the knowledge of the genus Cladosporium in Iran
During an investigation on Cladosporium species associated with numerous substrates of various localities in Iran during 2011-13, eight species including C. delicatulum, C. echinulatum, C. exile, C. macrocarpum, C. neriicola, C. pannosum, C. scabrellum and C. uredinicola were identified based on the morphological characters. All these species are new records for the Iranian mycobiota, except fo...
متن کاملReducible and ∂-reducible Handle Additions
Let M be a simple 3-manifold with F a component of ∂M of genus at least two. For a slope α on F , we denote by M(α) the manifold obtained by attaching a 2-handle to M along a regular neighborhood of α on F . Suppose that α and β are two separating slopes on F such that M(α) and M(β) are reducible. Then the distance between α and β is at most 2. As a corollary, if g(F ) = 2, then there is at mos...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2014
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-2014-06253-3