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The Alexander polynomial as an intersection of two cycles in a symmetric power. / Kalinin, Nikita.

In: Journal of Knot Theory and its Ramifications, Vol. 24, No. 12, 1550061, 01.10.2015.

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

Harvard

Kalinin, N 2015, 'The Alexander polynomial as an intersection of two cycles in a symmetric power', Journal of Knot Theory and its Ramifications, vol. 24, no. 12, 1550061. https://doi.org/10.1142/S0218216515500613

APA

Kalinin, N. (2015). The Alexander polynomial as an intersection of two cycles in a symmetric power. Journal of Knot Theory and its Ramifications, 24(12), [1550061]. https://doi.org/10.1142/S0218216515500613

Vancouver

Kalinin N. The Alexander polynomial as an intersection of two cycles in a symmetric power. Journal of Knot Theory and its Ramifications. 2015 Oct 1;24(12). 1550061. https://doi.org/10.1142/S0218216515500613

Author

Kalinin, Nikita. / The Alexander polynomial as an intersection of two cycles in a symmetric power. In: Journal of Knot Theory and its Ramifications. 2015 ; Vol. 24, No. 12.

BibTeX

@article{b0d001b7ab364835b707f2c4fe02e048,
title = "The Alexander polynomial as an intersection of two cycles in a symmetric power",
abstract = "We consider a braid β which acts on a punctured plane. Then we construct a local system on this plane and find a homology cycle D in its symmetric power, such that D β(D) coincides with the Alexander polynomial of the plait closure of β.",
keywords = "Braid group action, the Alexander polynomial",
author = "Nikita Kalinin",
year = "2015",
month = oct,
day = "1",
doi = "10.1142/S0218216515500613",
language = "English",
volume = "24",
journal = "Journal of Knot Theory and its Ramifications",
issn = "0218-2165",
publisher = "WORLD SCIENTIFIC PUBL CO PTE LTD",
number = "12",

}

RIS

TY - JOUR

T1 - The Alexander polynomial as an intersection of two cycles in a symmetric power

AU - Kalinin, Nikita

PY - 2015/10/1

Y1 - 2015/10/1

N2 - We consider a braid β which acts on a punctured plane. Then we construct a local system on this plane and find a homology cycle D in its symmetric power, such that D β(D) coincides with the Alexander polynomial of the plait closure of β.

AB - We consider a braid β which acts on a punctured plane. Then we construct a local system on this plane and find a homology cycle D in its symmetric power, such that D β(D) coincides with the Alexander polynomial of the plait closure of β.

KW - Braid group action

KW - the Alexander polynomial

UR - http://www.scopus.com/inward/record.url?scp=85047584145&partnerID=8YFLogxK

U2 - 10.1142/S0218216515500613

DO - 10.1142/S0218216515500613

M3 - Article

AN - SCOPUS:85047584145

VL - 24

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

SN - 0218-2165

IS - 12

M1 - 1550061

ER -

ID: 49793879