Zobrazeno 1 - 7
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pro vyhledávání: '"Vladimir Tarkaev"'
Autor:
Vladimir Tarkaev
Publikováno v:
Siberian Mathematical Journal. 63:1153-1168
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::984edb6a683ef3e507c040b56f3607fc
https://doi.org/10.1134/s0037446622060143
https://doi.org/10.1134/s0037446622060143
Autor:
Vladimir Tarkaev
Publikováno v:
Results in Mathematics. 76
We consider an analogue of the well-known Casson knot invariant for knotoids. We start with a direct analogue of the classical construction which gives two different integer-valued knotoid invariants and then focus on its homology extension. The valu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9fcc9aa19795eaf6fd4ecdb4e515e124
https://doi.org/10.1007/s00025-021-01445-y
https://doi.org/10.1007/s00025-021-01445-y
Autor:
Philipp Korablev, Vladimir Tarkaev
Publikováno v:
Journal of Knot Theory and Its Ramifications. 30:2150040
Knotoids are open ended knot diagrams regarded up to Reidemeister moves and isotopies. The notion is introduced by Turaev in 2012. Two most important numeric characteristics of a knotoid are the crossing number and the height. The latter is the least
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ce833093393b282264306ccf8a1c9609
https://doi.org/10.1142/s0218216521500401
https://doi.org/10.1142/s0218216521500401
The graph complexity of a compact 3-manifold is defined as the minimum order among all 4-colored graphs representing it. Exact calculations of graph complexity have been already performed, through tabulations, for closed orientable manifolds (up to g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb00c405a34b6f3b9453f615d61e530c
http://hdl.handle.net/11585/624480
http://hdl.handle.net/11585/624480
In this short paper we compute the values of Dijkgraaf-Witten invariants over $Z_2$ for all orientable Seifert manifolds with orientable bases.
Comment: 6 pages, 2 figures
Comment: 6 pages, 2 figures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bdb8f8da52c43aaf02ec44b0ea7fcdde
A representation for compact 3-manifolds with non-empty non-spherical boundary via 4-colored graphs (i.e., 4-regular graphs endowed with a proper edge-coloration with four colors) has been recently introduced by two of the authors, and an initial cla
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6fdc1b9fe8ca1e1f4d0584cc36296951
http://hdl.handle.net/11585/610954
http://hdl.handle.net/11585/610954
We call a cusped hyperbolic 3-manifold tetrahedral if it can be decomposed into regular ideal tetrahedra. Following an earlier publication by three of the authors, we give a census of all tetrahedral manifolds and all of their combinatorial tetrahedr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48db54c8443b1fb246a1e1269e330b89