منابع مشابه
Involutions Fixing Rp
This paper studies the equivariant cobordism classification of all involutions fixing a disjoint union of an odd-dimensional real projective space RP with its normal bundle nonbounding and a Dold manifold P (h, i) with h > 0 and i > 0. For odd h, the complete analysis of the equivariant cobordism classes of such involutions is given except that the upper and lower bounds on codimension of P (h,...
متن کاملCORRECTIONS TO “ INVOLUTIONS FIXING RP odd P ( h , i ) , II ”
The purpose of this note is to correct statements of some assertions in [1]. The mistake occurs in the argument of the case in which the normal bundle ν over P (h, i) is nonstandard. Specifically, some incorrect calculations first happen in the arguments of the cases u = 0 and u > 1 of page 1309 (in the proof of Lemma 3.4 of [1]). This leads to the loss of the existence of some involutions with...
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With any integral lattice Λ in n-dimensional euclidean space we associate an elementary abelian 2-group I(Λ) whose elements represent parts of the dual lattice that are similar to Λ. There are corresponding involutions on modular forms for which the theta series of Λ is an eigenform; previous work has focused on this connection. In the present paper I(Λ) is considered as a quotient of some fini...
متن کاملPfister Involutions
The question of the existence of an analogue, in the framework of central simple algebras with involution, of the notion of Pfister form is raised. In particular, algebras with orthogonal involution which split as a tensor product of quaternion algebras with involution are studied. It is proven that, up to degree 16, over any extension over which the algebra splits, the involution is adjoint to...
متن کاملSquare Involutions
A square involution is a square permutation which is also an involution. In this paper we give the enumeration of square involutions, using purely combinatorial methods, by establishing a bijective correspondence with a class of lattice paths. As a corollary to our result, we enumerate various subclasses of square involutions, including the classes of triangular, decomposable, and fat involutions.
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2004
ISSN: 0166-8641
DOI: 10.1016/j.topol.2004.02.001