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A Markov theorem for generalized plat decompositionCattabriga, Alessia ; Gabrovšek, Boštjan, matematik, 1981-Dokažemo izrek Markova za plat dekompozicije spletov v povezani zaprti orientabilni 3-mnogoterosti. Natančneje, če imamo za mnogoterost ▫$M$▫ dano Heegaardovo ploskev roda ▫$g$▫, potem predstavimo ... vsak splet v ▫$M$▫ kot plat-sklenjeno kito v ploskovni grupi kit roda ▫$g$▫ in analiziramo kako se ekvivalenca dveh spletov v ▫$M$▫ prenese na ekvivalenco v tej grupi. Najprej zapišemo ekvivalenco v obrobku ploskve, nato, da dobimo ekvivalenco v ▫$M$▫, preučimo kako se izotopije, ki ustrezajo zdrsom po meridianskih diskih, prenesejo na predstavnika kite v grupi. Na koncu podamo eksplicitne konstruckije za mnogoterosti s Heegaardovim rodom 1.Source: Annali della Scuola normale superiore di Pisa. Classe di scienze. - ISSN 0391-173X (Vol. 20, iss. 4, 2020, str. 1273-1289)Type of material - article, component part ; adult, seriousPublish date - 2020Language - englishCOBISS.SI-ID - 47280643
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source: Annali della Scuola normale superiore di Pisa. Classe di scienze. - ISSN 0391-173X (Vol. 20, iss. 4, 2020, str. 1273-1289)
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Cattabriga, Alessia | ![]() |
Gabrovšek, Boštjan, matematik, 1981- | 29631 |
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