DIAGONAL COMPLEXES FOR SURFACES OF FINITE TYPE AND SURFACES WITH INVOLUTION

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DIAGONAL COMPLEXES FOR SURFACES OF FINITE TYPE AND SURFACES WITH INVOLUTION. / Panina, G.; Gordon, J.

In: St. Petersburg Mathematical Journal, Vol. 33, No. 3, 01.01.2022, p. 165-484.

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

Author

Panina, G. ; Gordon, J. / DIAGONAL COMPLEXES FOR SURFACES OF FINITE TYPE AND SURFACES WITH INVOLUTION. In: St. Petersburg Mathematical Journal. 2022 ; Vol. 33, No. 3. pp. 165-484.

BibTeX

@article{6277efe4e329476683093373443e28b1,

title = "DIAGONAL COMPLEXES FOR SURFACES OF FINITE TYPE AND SURFACES WITH INVOLUTION",

abstract = "Two constructions are studied that are inspired by the ideas of a recent paper by the authors. The diagonal complex D and its barycentric subdivision BD related to an oriented surface of ﬁnite type F equipped with a number of labeled marked points. This time, unlike the paper mentioned above, boundary components without marked points are allowed, called holes. The symmetric diagonal complex D inv and its barycentric subdivision BD inv related to a symmetric (=with an involution) oriented surface F equipped with a number of (symmetrically placed) labeled marked points. The symmetric complex is shown to be homotopy equivalent to the complex of a surface obtained by “taking a half” of the initial symmetric surface.",

keywords = "associahedron, curve complex, Moduli space, ribbon graphs",

author = "G. Panina and J. Gordon",

year = "2022",

month = jan,

day = "1",

doi = "10.1090/spmj/1709",

language = "English",

volume = "33",

pages = "165--484",

journal = "St. Petersburg Mathematical Journal",

issn = "1061-0022",

publisher = "American Mathematical Society",

number = "3",

}

RIS

TY - JOUR

T1 - DIAGONAL COMPLEXES FOR SURFACES OF FINITE TYPE AND SURFACES WITH INVOLUTION

AU - Panina, G.

AU - Gordon, J.

PY - 2022/1/1

Y1 - 2022/1/1

N2 - Two constructions are studied that are inspired by the ideas of a recent paper by the authors. The diagonal complex D and its barycentric subdivision BD related to an oriented surface of ﬁnite type F equipped with a number of labeled marked points. This time, unlike the paper mentioned above, boundary components without marked points are allowed, called holes. The symmetric diagonal complex D inv and its barycentric subdivision BD inv related to a symmetric (=with an involution) oriented surface F equipped with a number of (symmetrically placed) labeled marked points. The symmetric complex is shown to be homotopy equivalent to the complex of a surface obtained by “taking a half” of the initial symmetric surface.

AB - Two constructions are studied that are inspired by the ideas of a recent paper by the authors. The diagonal complex D and its barycentric subdivision BD related to an oriented surface of ﬁnite type F equipped with a number of labeled marked points. This time, unlike the paper mentioned above, boundary components without marked points are allowed, called holes. The symmetric diagonal complex D inv and its barycentric subdivision BD inv related to a symmetric (=with an involution) oriented surface F equipped with a number of (symmetrically placed) labeled marked points. The symmetric complex is shown to be homotopy equivalent to the complex of a surface obtained by “taking a half” of the initial symmetric surface.

KW - associahedron

KW - curve complex

KW - Moduli space

KW - ribbon graphs

UR - http://www.scopus.com/inward/record.url?scp=85129977837&partnerID=8YFLogxK

U2 - 10.1090/spmj/1709

DO - 10.1090/spmj/1709

M3 - Article

AN - SCOPUS:85129977837

VL - 33

SP - 165

EP - 484

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 3

ER -

ID: 126323471