Involutions Fixing Rp
نویسنده
چکیده
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, i) may not be best possible; for even h, the problem may be reduced to the problem for even projective spaces.
منابع مشابه
CORRECTIONS 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...
متن کاملUnfaithful complex hyperbolic triangle groups I: Involutions
A complex hyperbolic triangle group is the group of complex hyperbolic isometries generated by complex involutions fixing three complex lines in complex hyperbolic space. Such a group is called equilateral if there is an isometry of order three that cyclically permutes the three complex lines. We consider equilateral triangle groups for which the product of each pair of involutions and the prod...
متن کاملCharacteristic classes of vector bundles over CP ( j ) × HP ( k ) and involutions fixing CP ( 2 m + 1 ) × HP ( k ) ∗
In this paper, we determine the total Stiefel-Whitney classes of vector bundles over the product of the complex projective space CP (j) with the quaternionic projective space HP (k). Moreover, we show that every involution fixing CP (2m+1)×HP (k) bounds. AMS subject classifications: 57R85, 57S17, 55N22
متن کاملJa n 20 03 On the involutions fixing the class of a lattice
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 کاملNature of Dark Energy and Polarization Measurements
We discuss at which noise level measures of polarization on wide angular scales, together with anisotropy data, can fix DE parameters. Anisotropy–polarization correlations, at low l, for RP models, are peculiar and similar to open models. Using a likelihood analysis, we show then that it can be possible to distinguish models with DE due to RP potentials from ΛCDM and other quintessence models, ...
متن کامل