EQUIVARIANT Q-SLICENESS OF STRONGLY INVERTIBLE KNOTS
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, cilt.379, sa.5, ss.3693-3720, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 379 Sayı: 5
- Basım Tarihi: 2026
- Doi Numarası: 10.1090/tran/9559
- Dergi Adı: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
- Sayfa Sayıları: ss.3693-3720
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
We introduce and study the notion of equivariant Q-sliceness for strongly invertible knots. On the constructive side, we prove that every Klein amphichiral knot, which is a strongly invertible knot admitting a compatible negative amphichiral involution, is equivariant Q-slice in a single Q-homology 4-ball, by refining Kawauchi's construction and generalizing Levine's uniqueness result. On the obstructive side, we show that the equivariant version of the classical Fox-Milnor condition, proved recently by the first author [J. Topol. 17 (2024), 44 pp.], also obstructs equivariant Q-sliceness. We then introduce the equivariant Q-concordance group and study the natural maps between concordance groups as an application. We also list some open problems for future study.