Graduate Program in Mathematics.Karakurt, Çağrı.Şavk, Oğuz.2023-03-162023-03-162018.MATH 2018 S38https://digitalarchive.library.bogazici.edu.tr/handle/123456789/15304We study some invariants of homology cobordism classes in dimension three. These invariants have their roots in gauge theory but are computable combinatori ally for plumbed 3-manifolds. We illustrate certain computation techniques for these invariants and using them we try to answer basic questions about three-dimensional homology cobordism group.30 cm.Homology theory.xii, 61 leaves ;