Yuta Nozaki

activity

20242026

most citedHomotopy classification of knotted defects in ordered media

4 citations · 4 across the 5 of their papers we have counts for

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2 papers · 1 filter

math.GT2026

The homology cobordism group is not generated by graph homology $3$ -spheres

Ben Mares, Yuta Nozaki, Masaki Taniguchi

We show the homology cobordism group of homology $3$ -spheres is not generated by graph homology $3$ -spheres. Our technique is a combination of filtered instanton Floer theory and G…

math.GT2024

Torsion elements in the associated graded of the $Y$ -filtration of the monoid of homology cylinders

Yuta Nozaki, Masatoshi Sato, Masaaki Suzuki

Clasper surgery induces the $Y$ -filtration ${Y_{n} I C}_{n}$ over the monoid of homology cylinders, which serves as a $3$ -dimensional analogue of the lower central series of…

The homology cobordism group is not generated by graph homology 3-spheres

Torsion elements in the associated graded of the Y-filtration of the monoid of homology cylinders

The homology cobordism group is not generated by graph homology $3$ -spheres

Torsion elements in the associated graded of the $Y$ -filtration of the monoid of homology cylinders