The special shadow-complexity of #k(S1 × S3)

The special shadow-complexity is an invariant of closed [Formula: see text]-manifolds defined by Costantino using Turaev’s shadows. We show that for any positive integer [Formula: see text], the special shadow-complexity of the connected sum of [Formula: see text] copies of [Formula: see text] is exactly [Formula: see text].

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Publication Details

Journal
Journal of Knot Theory and Its Ramifications
Published
2025-03-01
DOI
https://doi.org/10.1142/s0218216525500142
Citations
1
Primary Topic
Coding theory and cryptography
Type
article
Field-Weighted Citation Impact
2.48
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article

The special shadow-complexity of #k(S1 × S3)

Hironobu Naoe
1 citations
Journal of Knot Theory and Its Ramifications
Coding theory and cryptography
2.48
article

The special shadow-complexity of #k(S1 × S3)

Hironobu Naoe
article en
1 citations

Abstract

The special shadow-complexity is an invariant of closed [Formula: see text]-manifolds defined by Costantino using Turaev’s shadows. We show that for any positive integer [Formula: see text], the special shadow-complexity of the connected sum of [Formula: see text] copies of [Formula: see text] is exactly [Formula: see text].

Journal of Knot Theory and Its RamificationsVol. 34(05)
Tokyo Institute of Technology (JP)
Openalex Percentile: Top 12%
Coding theory and cryptography
2.48
DOISourceOpenAlex
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The special shadow-complexity of #k(S1 × S3) — Hironobu Naoe · Journal of Knot Theory and Its Ramifications (2025) | TGRS Research Map | TGRS