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 Dinv
and its barycentric subdivision BDinv
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.
— 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 Dinv
and its barycentric subdivision BDinv
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.
Original language | English |
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Pages (from-to) | 51-72 |
Number of pages | 22 |
Journal | Алгебра и анализ |
Volume | 33 |
Issue number | 3 |
Publication status | Published - 2021 |
Externally published | Yes |