33 citations · 135 across the 15 of their papers we have counts for
15 papers
Homological instability for moduli spaces of smooth 4-manifolds
Hokuto Konno, Jianfeng Lin
We prove that homological stability fails for the moduli space of any simply-connected closed smooth 4-manifold in any degree of homology, unlike what happens in all dimensions $\n…
The Family Seiberg-Witten Invariant and nonsymplectic loops of diffeomorphisms
Jianfeng Lin
By extending a result of Kronheimer-Mrowka to the family setting, we prove a gluing formula for the family Seiberg-Witten invariant. This formula allows one to compute the invarian…
Family Bauer--Furuta invariant, Exotic Surfaces and Smale conjecture
Jianfeng Lin, Anubhav Mukherjee
We establish the existence of a pair of exotic surfaces in a punctured which remains exotic after one external stabilization and have diffeomorphic complements. A key ingredie…
On the monopole Lefschetz number of finite order diffeomorphisms
Jianfeng Lin, Daniel Ruberman, Nikolai Saveliev
Let be a knot in an integral homology 3-sphere , and the corresponding -fold cyclic branched cover. Assuming that is a rational homology sphere (which is always t…
Isotopy of the Dehn twist on K3#K3 after a single stabilization
Jianfeng Lin
Kronheimer-Mrowka recently proved that the Dehn twist along a 3-sphere in the neck of is not smoothly isotopic to the identity. This provides a new example of self-diffeom…
Intersection Forms of Spin 4-Manifolds and the Pin(2)-Equivariant Mahowald Invariant
Michael J. Hopkins, Jianfeng Lin, XiaoLin Danny Shi +1
In studying the "11/8-Conjecture" on the Geography Problem in 4-dimensional topology, Furuta proposed a question on the existence of Pin(2)-equivariant stable maps between certain…
Unfolded Seiberg-Witten Floer spectra, II: Relative invariants and the gluing theorem
Tirasan Khandhawit, Jianfeng Lin, Hirofumi Sasahira
We use the construction of unfolded Seiberg-Witten Floer spectra of general 3-manifolds defined in our previous paper to extend the notion of relative Bauer-Furuta invariants to ge…
On the Frøyshov invariant and monopole Lefschetz number
Jianfeng Lin, Daniel Ruberman, Nikolai Saveliev
Given an involution on a rational homology 3-sphere with quotient the -sphere, we prove a formula for the Lefschetz number of the map induced by this involution in the reduc…
A splitting theorem for the Seiberg-Witten invariant of a homology
Jianfeng Lin, Daniel Ruberman, Nikolai Saveliev
We study the Seiberg-Witten invariant of smooth spin -manifolds with integral homology of defined by Mrowka, Ruberman, and Saveliev as a si…
Unfolded Seiberg-Witten Floer spectra, I: Definition and invariance
Tirasan Khandhawit, Jianfeng Lin, Hirofumi Sasahira
Let be a closed and oriented -manifold. We define different versions of unfolded Seiberg-Witten Floer spectra for . These invariants generalize Manolescu's Seiberg-Witten…
The Seiberg-Witten equations on end-periodic manifolds and an obstruction to positive scalar curvature metrics
Jianfeng Lin
By studying the Seiberg-Witten equations on end-periodic manifolds, we give an obstruction on the existence of positive scalar curvature metric on compact -manifolds with the sa…
Pin(2)-equivariant KO-theory and intersection forms of spin four-manifolds
Jianfeng Lin
Using Seiberg-Witten Floer spectrum and Pin(2)-equivariant KO-theory, we prove new Furuta-type inequalities on the intersection forms of spin cobordisms between homology -sphere…
SU(2)-Cyclic Surgeries on Knots
Jianfeng Lin
A surgery on a knot in 3-sphere is called SU(2)-cyclic if it gives a manifold whose fundamental group has no non-cyclic SU(2) representations. Using holonomy perturbations on the C…
The A-polynomial And Holonomy Perturbations
Jianfeng Lin
Dunfield-Garoufalidis and Boyer-Zhang proved that the A-polynomial of a nontrivial knot in is nontrivial. In this paper, we use holonomy perturbations to prove the non-triv…
Fixed subgroups of automorphisms of hyperbolic 3-manifold groups
Jianfeng Lin, Shicheng Wang
For fixed subgroups of automorphisms on hyperbolic 3-manifold groups , we observed that and the constant 2 in the in…