ON THE QUOTIENT OF THE HOMOLOGY COBORDISM GROUP BY SEIFERT SPACES

Kristen Hendricks; Jennifer Hom; Matthew Stoffregen; Ian Zemke

doi:10.1090/btran/110

ON THE QUOTIENT OF THE HOMOLOGY COBORDISM GROUP BY SEIFERT SPACES

Kristen Hendricks, Jennifer Hom, Matthew Stoffregen, Ian Zemke

Mathematics

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

7 Scopus citations

Abstract

We prove that the quotient of the integer homology cobordism group by the subgroup generated by the Seifert fibered spaces is infinitely generated.

Original language	English (US)
Pages (from-to)	757-781
Number of pages	25
Journal	Transactions of the American Mathematical Society Series B
Volume	9
Issue number	25
DOIs	https://doi.org/10.1090/btran/110
State	Published - Sep 9 2022

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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10.1090/btran/110

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title = "ON THE QUOTIENT OF THE HOMOLOGY COBORDISM GROUP BY SEIFERT SPACES",

abstract = "We prove that the quotient of the integer homology cobordism group by the subgroup generated by the Seifert fibered spaces is infinitely generated.",

author = "Kristen Hendricks and Jennifer Hom and Matthew Stoffregen and Ian Zemke",

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year = "2022",

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AU - Hendricks, Kristen

AU - Hom, Jennifer

AU - Stoffregen, Matthew

AU - Zemke, Ian

PY - 2022/9/9

Y1 - 2022/9/9

N2 - We prove that the quotient of the integer homology cobordism group by the subgroup generated by the Seifert fibered spaces is infinitely generated.

AB - We prove that the quotient of the integer homology cobordism group by the subgroup generated by the Seifert fibered spaces is infinitely generated.

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DO - 10.1090/btran/110

M3 - Article

AN - SCOPUS:85144761791

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VL - 9

SP - 757

EP - 781

JO - Transactions of the American Mathematical Society Series B

JF - Transactions of the American Mathematical Society Series B

IS - 25

ER -

ON THE QUOTIENT OF THE HOMOLOGY COBORDISM GROUP BY SEIFERT SPACES

Abstract

All Science Journal Classification (ASJC) codes

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