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

7 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

Access to Document

10.1016/0166-8641(91)90122-3

Cite this

@article{460e2c1250ef49ce8a06119bdcd94221,

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",

month = nov,

day = "26",

doi = "10.1016/0166-8641(91)90122-3",

language = "אנגלית",

volume = "42",

pages = "201--215",

journal = "Topology and its Applications",

issn = "0166-8641",

publisher = "Elsevier B.V.",

number = "3",

}

TY - JOUR

T1 - The rational filling radius of complex projective space

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

UR - https://www.scopus.com/pages/publications/0043160554

U2 - 10.1016/0166-8641(91)90122-3

DO - 10.1016/0166-8641(91)90122-3

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0043160554

SN - 0166-8641

VL - 42

SP - 201

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

Access to Document

Other files and links

Fingerprint

Cite this