Several links to the PDFs or videos explaining my studies are available. 

Seiberg-Witten Floer theory 

Real Seiberg-Witten Floer theory

• Odd satellite formula for real Floer homotopy types, Video of ICTP

• Knot concordance invariants from real Seiberg-Witten theory, Video of GVT

• Real Seiberg-Witten Floer homotopy and applications, A slide used in the Regensburg conference (in English) 

• Real 10/8 inequality for knots, Video of a talk in MSRI/SL-math (in English) 

Families Seiberg-Witten Floer theory 

• Homotopy coherent group actions, A note (in English)

• Exotic phenomena on small 4-manifolds from diffeomorphisms, A slide  (in English) 

Contact invariants in Seiberg-Witten theory

• Bauer-Furuta type invariant for 4-manifolds with contact boundary and adjunction inequality, note used in the Nearly Carbon Neutral Geometric Topology conference, 2021, (written in English)

Instanton Floer theory 

Filtered instanton Floer theory

• Homology cobordism group and Chern-Simons, Video of Regensburg low-dimensional geometry and topology seminar,  (in English) 

• Homology cobordism group and Chern-Simons, Video of Stanford topology seminar, (in English) 

• Homology cobordism group and Chern-Simons, Slide used in Mathematical Society of Japan, (written in English) 

• On definite 4-manifolds bounded by a homology 3-sphere  (in English)

• Local equivalence in instanton Floer theory, A slide used in  GEOMETRY & TOPOLOGY WORKSHOP TURKEY, (written in English)

• 2-knots in S^4 and YM gauge theory, A slide used in KOOK seminar, (written in English)

• Seifert hypersurfaces of 2-knots and instantons, (written in English)

• Codimension one embedding of 3-manifolds and YM gauge theory, A slide used in Mathematical Society of Japan, (written in English)

• Codimension one embeddings of 3-manifolds and instantons, (written in English)

Singular instantons knot Floer homology 

• Singular instantons and knot concordance invariants, (in English) 

Families instanton Floer theory 

• Involutive instanton Floer theory and its applications, (in English) 

Gauge theory for non-compact 4-manifolds 

• Positive Scalar Curvature and 10/8-inequality, Slide used in the 14th East Asian Conference on Geometric Topology, (written in English)

• YM and SW gauge theory on 4-manifolds with periodic ends I,  a video,  (in  English) 

• YM and SW gauge theory on 4-manifolds with periodic ends II, a video, (in English)

• Positive Scalar curvature and Homology cobordism invariants, A slide which used in 4D topology, 2021, written in English

Survey

• Instanton Floer homology and TQFT, (written in English)

 セミナーノート・解説記事(日本語, Japanese) 

セミナーノート

• 周期的端を持つ4次元多様体の10/8不等式と正スカラー曲率, Note used in Kansai gauge theory seminar, (written Japanese)
• コンタクト境界を持つ4次元多様体のBauer-Furuta型不変量と随伴不等式, A note used in Handle Seminar 2021,  (in Japanese)
• フィルター付きinstanton Floerホモロジーとホモロジー同境群, Note used in Topology Symposium, (written in Japanese)

論文解説記事

• フィルター付きinstanton Floerホモロジーとホモロジー同境群, Survey used in Topology Symposium, (written in Japanese)

スライド類

•   2次元結び目とYMゲージ理論, An abstract of the paper "Seifert hypersurfaces of 2-knots and Chern-Simons functional", (written in Japanese)

講演ビデオ類

• コンタクト境界を持つ4次元多様体のBauer-Furuta型不変量と随伴不等式, A video used in Handle seminar 2021, (in Japanese)
• 特異インスタントン理論とその応用, ハンドルセミナー2022, part I, part II, part III (in Japanese)

survey類

• ホモロジー3球面の成すホモロジー同境群, The homology cobordism group of homology 3-spheres, (in Japanese)
• Instanton Floer homologyの学び方, How to learn instanton Floer theory, (in Japanese)
• ゲージ理論と4次元多様体, Gauge theory and 4-manifolds, (in Japanese)