The rational filling radius of complex projective space

Mikhail Katz

doi:10.1016/0166-8641(91)90122-3

The rational filling radius of complex projective space

Mikhail Katz

Université de Lorraine

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We compute the filling radius with rational coefficients of CPⁿ by studying the Serre spectral sequence of the total space of the unit tangent bundle viewed as a principal SO(3)-bundle on the Grassmannian of 2-planes in CPⁿ. We also compute the (integer) filling radius of CPⁿ and exhibit a torsion obstruction to filling CPⁿ. We discuss a related aspect of the global geometry of CPⁿ.

Original language	English
Pages (from-to)	201-215
Number of pages	15
Journal	Topology and its Applications
Volume	42
Issue number	3
DOIs	https://doi.org/10.1016/0166-8641(91)90122-3
State	Published - 26 Nov 1991
Externally published	Yes

Bibliographical note

Funding Information:
in part by S.E.R.C. Grant GR/E/99970.

Funding

in part by S.E.R.C. Grant GR/E/99970.

Funders	Funder number
S.E.R.C.	GR/E/99970

Keywords

Filling radius
Kuratowski isometric embedding
Schubert calculus
Serre spectral sequence
diameter functional

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10.1016/0166-8641(91)90122-3

Cite this

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title = "The rational filling radius of complex projective space",

abstract = "We compute the filling radius with rational coefficients of CPn by studying the Serre spectral sequence of the total space of the unit tangent bundle viewed as a principal SO(3)-bundle on the Grassmannian of 2-planes in CPn. We also compute the (integer) filling radius of CPn and exhibit a torsion obstruction to filling CPn. We discuss a related aspect of the global geometry of CPn.",

keywords = "Filling radius, Kuratowski isometric embedding, Schubert calculus, Serre spectral sequence, diameter functional",

author = "Mikhail Katz",

note = "Funding Information: in part by S.E.R.C. Grant GR/E/99970.",

year = "1991",

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AU - Katz, Mikhail

N1 - Funding Information: in part by S.E.R.C. Grant GR/E/99970.

PY - 1991/11/26

Y1 - 1991/11/26

N2 - We compute the filling radius with rational coefficients of CPn by studying the Serre spectral sequence of the total space of the unit tangent bundle viewed as a principal SO(3)-bundle on the Grassmannian of 2-planes in CPn. We also compute the (integer) filling radius of CPn and exhibit a torsion obstruction to filling CPn. We discuss a related aspect of the global geometry of CPn.

AB - We compute the filling radius with rational coefficients of CPn by studying the Serre spectral sequence of the total space of the unit tangent bundle viewed as a principal SO(3)-bundle on the Grassmannian of 2-planes in CPn. We also compute the (integer) filling radius of CPn and exhibit a torsion obstruction to filling CPn. We discuss a related aspect of the global geometry of CPn.

KW - Filling radius

KW - Kuratowski isometric embedding

KW - Schubert calculus

KW - Serre spectral sequence

KW - diameter functional

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EP - 215

JO - Topology and its Applications

JF - Topology and its Applications

IS - 3

ER -

The rational filling radius of complex projective space

Abstract

Bibliographical note

Funding

Keywords

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