18 citations · 61 across the 19 of their papers we have counts for
20 papers
The homology cobordism group is not generated by graph homology -spheres
Ben Mares, Yuta Nozaki, Masaki Taniguchi
We show the homology cobordism group of homology -spheres is not generated by graph homology -spheres. Our technique is a combination of filtered instanton Floer theory and G…
Exotic Dehn twists on 4-manifolds
Hokuto Konno, Abhishek Mallick, Masaki Taniguchi
We initiate the study of exotic Dehn twists along 3-manifolds inside -manifolds, which produces the first known examples of exotic diffeomorphisms of contractible 4-m…
Involutions, links, and Floer cohomologies
Hokuto Konno, Jin Miyazawa, Masaki Taniguchi
We develop a version of Seiberg--Witten Floer cohomology/homotopy type for a spin 4-manifold with boundary and with an involution which reverses the spin structure, as well…
From diffeomorphisms to exotic phenomena in small 4-manifolds
Hokuto Konno, Abhishek Mallick, Masaki Taniguchi
We provide an approach to study exotic phenomena in relatively small 4-manifolds that captures many different exotic behaviors under one umbrella. These phenomena include exotic sm…
Exotic codimension-1 submanifolds in 4-manifolds and stabilizations
Hokuto Konno, Anubhav Mukherjee, Masaki Taniguchi
In a small simply-connected closed 4-manifold, we construct infinitely many pairs of exotic codimension- submanifolds with diffeomorphic complements that remain exotic after any…
Instantons, special cycles, and knot concordance
Aliakbar Daemi, Hayato Imori, Kouki Sato +2
We introduce a framework for defining concordance invariants of knots using equivariant singular instanton Floer theory with Chern-Simons filtration. It is demonstrated that many o…