Connected Sum Decompositions of High-Dimensional Manifolds

Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

Standard

Connected Sum Decompositions of High-Dimensional Manifolds. / Bokor, Imre ; Crowley, Diarmuid; Friedl, Stefan ; Hebestreit, Fabian; Kasproswki, Daniel ; Land, Markus; Nicholson, Johnny .

2019-20 MATRIX Annals. Springer, 2021. p. 5-30 (MATRIX Book Series, Vol. 4).

Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

Harvard

Bokor, I, Crowley, D, Friedl, S, Hebestreit, F, Kasproswki, D, Land, M & Nicholson, J 2021, Connected Sum Decompositions of High-Dimensional Manifolds. in 2019-20 MATRIX Annals. Springer, MATRIX Book Series, vol. 4, pp. 5-30. https://doi.org/10.1007/978-3-030-62497-2

APA

Bokor, I., Crowley, D., Friedl, S., Hebestreit, F., Kasproswki, D., Land, M., & Nicholson, J. (2021). Connected Sum Decompositions of High-Dimensional Manifolds. In 2019-20 MATRIX Annals (pp. 5-30). Springer. MATRIX Book Series Vol. 4 https://doi.org/10.1007/978-3-030-62497-2

Vancouver

Bokor I, Crowley D, Friedl S, Hebestreit F, Kasproswki D, Land M et al. Connected Sum Decompositions of High-Dimensional Manifolds. In 2019-20 MATRIX Annals. Springer. 2021. p. 5-30. (MATRIX Book Series, Vol. 4). https://doi.org/10.1007/978-3-030-62497-2

Author

Bokor, Imre ; Crowley, Diarmuid ; Friedl, Stefan ; Hebestreit, Fabian ; Kasproswki, Daniel ; Land, Markus ; Nicholson, Johnny . / Connected Sum Decompositions of High-Dimensional Manifolds. 2019-20 MATRIX Annals. Springer, 2021. pp. 5-30 (MATRIX Book Series, Vol. 4).

Bibtex

@inbook{a6e9d7fb5f3c4e3ba1e07d4c867fe27c,
title = "Connected Sum Decompositions of High-Dimensional Manifolds",
abstract = "The classical Kneser-Milnor theorem says that every closed oriented connected 3-dimensional manifold admits a unique connected sum decomposition into manifolds that cannot be decomposed any further. We discuss to what degree such decompositions exist in higher dimensions and we show that in many settings uniqueness fails in higher dimensions.",
author = "Imre Bokor and Diarmuid Crowley and Stefan Friedl and Fabian Hebestreit and Daniel Kasproswki and Markus Land and Johnny Nicholson",
year = "2021",
doi = "10.1007/978-3-030-62497-2",
language = "English",
isbn = " 978-3-030-62496-5",
series = "MATRIX Book Series",
pages = "5--30",
booktitle = "2019-20 MATRIX Annals",
publisher = "Springer",
address = "Switzerland",

}

RIS

TY - CHAP

T1 - Connected Sum Decompositions of High-Dimensional Manifolds

AU - Bokor, Imre

AU - Crowley, Diarmuid

AU - Friedl, Stefan

AU - Hebestreit, Fabian

AU - Kasproswki, Daniel

AU - Land, Markus

AU - Nicholson, Johnny

PY - 2021

Y1 - 2021

N2 - The classical Kneser-Milnor theorem says that every closed oriented connected 3-dimensional manifold admits a unique connected sum decomposition into manifolds that cannot be decomposed any further. We discuss to what degree such decompositions exist in higher dimensions and we show that in many settings uniqueness fails in higher dimensions.

AB - The classical Kneser-Milnor theorem says that every closed oriented connected 3-dimensional manifold admits a unique connected sum decomposition into manifolds that cannot be decomposed any further. We discuss to what degree such decompositions exist in higher dimensions and we show that in many settings uniqueness fails in higher dimensions.

U2 - 10.1007/978-3-030-62497-2

DO - 10.1007/978-3-030-62497-2

M3 - Book chapter

SN - 978-3-030-62496-5

T3 - MATRIX Book Series

SP - 5

EP - 30

BT - 2019-20 MATRIX Annals

PB - Springer

ER -

ID: 301633391