HOMOLOGY OF NON-k-OVERLAPPING DISCS

N.E. Dobrinskaya; V. Turchin

doi:10.4310/HHA.2015.v17.n2.a13

HOMOLOGY OF NON-k-OVERLAPPING DISCS

N.E. Dobrinskaya, V. Turchin

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Abstract

In this paper we describe the homology and cohomology of some natural bimodules over the little discs operad, whose components are configurations of non-k-overlapping discs. At the end we briefly explain how this algebraic structure intervenes in the study of spaces of non-k-equal immersions.

Original language	English
Pages (from-to)	261-290
Journal	Homology, Homotopy and Applications
Volume	17
Issue number	2
DOIs	https://doi.org/10.4310/HHA.2015.v17.n2.a13
Publication status	Published - 2015

Bibliographical note

PT: J; NR: 47; TC: 0; J9: HOMOL HOMOTOPY APPL; PG: 30; GA: CX4HR; UT: WOS:000365660600013

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title = "HOMOLOGY OF NON-k-OVERLAPPING DISCS",

abstract = "In this paper we describe the homology and cohomology of some natural bimodules over the little discs operad, whose components are configurations of non-k-overlapping discs. At the end we briefly explain how this algebraic structure intervenes in the study of spaces of non-k-equal immersions.",

author = "N.E. Dobrinskaya and V. Turchin",

note = "PT: J; NR: 47; TC: 0; J9: HOMOL HOMOTOPY APPL; PG: 30; GA: CX4HR; UT: WOS:000365660600013",

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language = "English",

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pages = "261--290",

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issn = "1532-0073",

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AU - Dobrinskaya, N.E.

AU - Turchin, V.

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PY - 2015

Y1 - 2015

N2 - In this paper we describe the homology and cohomology of some natural bimodules over the little discs operad, whose components are configurations of non-k-overlapping discs. At the end we briefly explain how this algebraic structure intervenes in the study of spaces of non-k-equal immersions.

AB - In this paper we describe the homology and cohomology of some natural bimodules over the little discs operad, whose components are configurations of non-k-overlapping discs. At the end we briefly explain how this algebraic structure intervenes in the study of spaces of non-k-equal immersions.

U2 - 10.4310/HHA.2015.v17.n2.a13

DO - 10.4310/HHA.2015.v17.n2.a13

M3 - Article

SN - 1532-0073

VL - 17

SP - 261

EP - 290

JO - Homology, Homotopy and Applications

JF - Homology, Homotopy and Applications

IS - 2

ER -

HOMOLOGY OF NON-k-OVERLAPPING DISCS

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