منابع مشابه
The 191 Orientable Octahedral Manifolds
We enumerate all spaces obtained by gluing in pairs the faces of the octahedron in an orientation-reversing fashion. Whenever such a gluing gives rise to non-manifold points, we remove small open neighbourhoods of these points, so we actually deal with three-dimensional manifolds with (possibly empty) boundary. There are 298 combinatorially inequivalent gluing patterns, and we show that they de...
متن کاملThe Linking Pairings of Orientable Seifert Manifolds
We compute the p-primary components of the linking pairings of orientable 3-manifolds admitting a fixed-point free Saction. Using this, we show that any nonsingular linking pairing on a finite abelian group with homogeneous 2-primary summand is realized by such a manifold. However there are pairings on inhomogeneous 2-groups which are not realizable. In [3] we computed the linking pairings of o...
متن کاملNon-orientable 3-manifolds of small complexity
We classify all closed non-orientable P-irreducible 3-manifolds having complexity up to 6 and we describe some having complexity 7. We show in particular that there is no such manifold with complexity less than 6, and that those having complexity 6 are precisely the 4 flat non-orientable ones and the filling of the Gieseking manifold, which is of type Sol. The manifolds having complexity 7 we d...
متن کاملFinding Non-Orientable Surfaces in 3-Manifolds
We investigate the complexity of finding an embedded non-orientable surface of Euler genus g in a triangulated 3-manifold. This problem occurs both as a natural question in low-dimensional topology, and as a first non-trivial instance of embeddability of complexes into 3-manifolds. We prove that the problem is NP-hard, thus adding to the relatively few hardness results that are currently known ...
متن کاملLefschetz coincidence formula on non-orientable manifolds
We generalize the Lefschetz coincidence theorem to non-oriented manifolds. We use (co-) homology groups with local coefficients. This generalization requires the assumption that one of the considered maps is orientation true.
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: Experimental Mathematics
سال: 2008
ISSN: 1058-6458,1944-950X
DOI: 10.1080/10586458.2008.10128873