ALMOST SIMPLE LINEAR GRAPHS, HOMOLOGY COBORDISM AND CONNECTED HEEGAARD FLOER HOMOLOGY

KARAKURT Ç., ŞAVK O.

ACTA MATHEMATICA HUNGARICA, cilt.168, sa.2, ss.454-489, 2022 (SCI-Expanded, Scopus) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 168 Sayı: 2
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s10474-022-01280-9
  • Dergi Adı: ACTA MATHEMATICA HUNGARICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.454-489
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

Continuing our previous work in [23], we effectively compute connected Heegaard Floer homologies of two families of Brieskorn spheres realized as the boundaries of almost simple linear graphs. Using Floer theoretic invariants of Dai, Hom, Stoffregen, and Truong [6], we show that these Brieskorn spheres also generate infinite rank summands in the homology cobordism group. Our computations also have applications to the concordance of classical knots and 0-concordance of 2-knots.