Milnorjeve invariante za splete : magistrsko delo

Marčič, Luka (author), Horvat, Eva (mentor)

Magistrsko delo predstavi spletno homotopijo in Milnorjeve invariante za ambientno izotopijo in tudi za spletno homotopijo, s poudarkom na Milnorjevih številskih invariantah. To stori z definicijami in dokazi relevantnih rezultatov, posebej v povezavi s spletno grupo in družino kvocientnih grup fundamentalne grupe, za katere obstaja Chen-Milnorjeva predstavitev.

• Language: Slovenian
• Keywords: Splet, spletno število, spletna homotopija, spletna grupa, Milnorjeve invariante
• Work type: Master's thesis/paper
• Typology: 2.09 - Master's Thesis
• Organization: FMF - Faculty of Mathematics and Physics
• Year: 2025
• PID: 20.500.12556/RUL-171456
• UDC: 515.1
• COBISS.SI-ID: 246188035
• Publication date in RUL: 27.08.2025

Secondary language

• Language: English
• Title: Milnor's link invariants

Abstract

This master's thesis presents link homotopy and Milnor's invariants for both ambient isotopy and link homotopy, with an emphasis on Milnor's numerical invariants. It does so by defining and proving all the relevant results, particularly regarding the link group and a family of quotient groups of the fundamental group for which the Chen-Milnor presentation exists.

• Keywords: Link, linking number, link homotopy, link group, Milnor's invariants