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A NOTE ON THE QUATERNIONIC QUASI-PROJECTIVE SPACE
Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 1984 According to \textit{I. M. James} [The topology of Stiefel manifolds, Lond. Math. Soc. Lect. Note Ser. 24 (1976; Zbl 0337.55017)], the quaternionic quasi-projective space \({\mathbb{H}}{\mathbb{Q}}_ n\) is defined in two ways. In this paper the authors show that the two definitions are equivalent and that the map \(t_ n: {\mathbb{H}}{\mathbb{Q}}_ n\to ...
MUKAI, Juno, OKA, Shichirô
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The string topology coproduct on complex and quaternionic projective space [PDF]
, 2023 On the free loop space of compact symmetric spaces Ziller introduced explicit cycles generating the homology of the free loop space. We use these explicit cycles to compute the string topology coproduct on complex and quaternionic projective space.
Stegemeyer, Maximilian
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On the Stable Homotopy of Quaternionic and Complex Projective Spaces [PDF]
Proceedings of the American Mathematical Society, 1970 Let the image in H 4 k
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Involutions fixing HP1(2m)∪HP2(2m)∪HP(2n+1) of the fixed point set
Journal of Hebei University of Science and Technology, 2015 Let (Mr,T) be a smooth closed manifold of dimension r with a smooth involution T whose fixed point set is F=HP1(2m)∪HP2(2m)∪HP(2n+1)(m≥1), where HP(n) denotes the n-dimensional quaternionic projective space.
Suqian ZHAO
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Inertia groups and smooth structures on quaternionic projective spaces [PDF]
Forum Mathematicum, 2022 Abstract This paper deals with certain results on the number of smooth structures on quaternionic projective spaces, obtained through the computation of inertia groups and their analogues, which in turn are computed using techniques from stable homotopy theory. We show that the concordance inertia group is trivial in dimension 20, but
Basu, Samik, Kasilingam, Ramesh
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On the determinant of quaternionic polynomial matrices and its application to system stability [PDF]
, 2008 In this paper, we propose a definition of determinant for quaternionic, polynomial matrices inspired by the well-known Dieudonne determinant for the constant case.
Paula Rocha +3 more
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Homeomorphisms of Quaternion space and projective planes in four space [PDF]
Journal of the Australian Mathematical Society, 1977 AbstractIt is known that all locally flat projective planes in S4 have homeomorphic normal disk bundles. In this paper we investigate the homeomorphisms of Q3 (= boundary of the normal disk bundle) on to itself. We show that a homeomorphisms of Q3 onto itself is determined, up to isotopy, by the outerautomorphism of π1(Q3) that it induces.
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On the symmetric square of quaternionic projective space [PDF]
, 2016 The main purpose of this thesis is to calculate the integral cohomology ring of the symmetric square of quaternionic projective space, which has been an open problem since computations with symmetric squares were first proposed in the 1930's.
Boote, Yumi
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Maps to Spaces in the Genus of Infinite Quaternionic Projective Space [PDF]
, 2003 Spaces in the genus of infinite quaternionic projective space which admit essential maps from infinite complex projective space are classified. In these cases the sets of homotopy classes of maps are described explicitly. These results strengthen the classical theorem of McGibbon and Rector on maximal torus admissibility for spaces in the genus of ...
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Quadratic Killing tensors on symmetric spaces which are not generated by Killing vector fields
Comptes Rendus. MathématiqueEvery Killing tensor field on the space of constant curvature and on the complex projective space can be decomposed into the sum of symmetric tensor products of Killing vector fields (equivalently, every polynomial in velocities integral of the geodesic ...
Matveev, Vladimir S., Nikolayevsky, Yuri
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