The string topology coproduct on complex and quaternionic projective space

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Abstract: 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. The behavior of the Goresky-Hingston product for these spaces then follows directly

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Notes: Manuscripta mathematica. - 174, 3-4 (2024) , 897-936, ISSN: 1432-1785

Event: Veröffentlichung

(where): Freiburg

(who): Universität

(when): 2024

Creator: Stegemeyer, Maximilian

DOI: 10.1007/s00229-023-01532-0

URN: urn:nbn:de:bsz:25-freidok-2435371

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 07.10.2025, 8:13 PM CEST

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Stegemeyer, Maximilian
Universität

Time of origin

2024

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The string topology coproduct on complex and quaternionic projective space

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Classical string dynamics with non-trivial topology

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The topology of the flag space of a topological projective plane with 2-spheres as point rows

Applied quaternionic analysis

The string topology coproduct on complex and quaternionic projective space

Pseudo-parabolic Category over Quaternionic Projective Plane

Projective shapes : topology and means

String topology and cyclic homology

Shimizu’s Lemma for Quaternionic Hyperbolic Space

Bordism and projective space bundles

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SOME PROPERTIES OF THE PROJECTIVE SPACE

Equivariant pliability of the projective space

Classical string dynamics with non-trivial topology

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The topology of the flag space of a topological projective plane with 2-spheres as point rows

Applied quaternionic analysis

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The string topology coproduct on complex and quaternionic projective space

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Other Objects (12)

The string topology coproduct on complex and quaternionic projective space

Pseudo-parabolic Category over Quaternionic Projective Plane

Projective shapes : topology and means

String topology and cyclic homology

Shimizu’s Lemma for Quaternionic Hyperbolic Space

Bordism and projective space bundles

Quaternionic Integrability

SOME PROPERTIES OF THE PROJECTIVE SPACE

Equivariant pliability of the projective space

Classical string dynamics with non-trivial topology

The topology of the flag space of a topological projective plane with 2-spheres as point rows

Applied quaternionic analysis

The string topology coproduct on complex and quaternionic projective space

Pseudo-parabolic Category over Quaternionic Projective Plane

Projective shapes : topology and means

String topology and cyclic homology

Shimizu’s Lemma for Quaternionic Hyperbolic Space

Bordism and projective space bundles

Quaternionic Integrability

SOME PROPERTIES OF THE PROJECTIVE SPACE

Equivariant pliability of the projective space

Classical string dynamics with non-trivial topology

The topology of the flag space of a topological projective plane with 2-spheres as point rows

Applied quaternionic analysis

The string topology coproduct on complex and quaternionic projective space

Pseudo-parabolic Category over Quaternionic Projective Plane

Projective shapes : topology and means

String topology and cyclic homology

Shimizu’s Lemma for Quaternionic Hyperbolic Space

Bordism and projective space bundles

Quaternionic Integrability

SOME PROPERTIES OF THE PROJECTIVE SPACE

Equivariant pliability of the projective space

Classical string dynamics with non-trivial topology

The topology of the flag space of a topological projective plane with 2-spheres as point rows

Applied quaternionic analysis

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