期刊： ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2021; 21 (1)
We investigate the cobordism maps on periodic Floer homology (PFH). In the first part of the paper, we define the cobordism maps on PFH via Seiberg-Wi......
期刊： ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2019; 19 (6)
We show that for any nonzero class A in H-2(X; Z(2)) in a rational 4-manifold X, A is represented by a nonorientable embedded Lagrangian surface L (fo......
期刊： ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2018; 18 (1)
In this paper, we give a proof of a conjecture which says that w(K) >= n(2) w(J), where w(center dot)is the width of a knot, K is a satellite knot ......
期刊： ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2018; 18 (2)
Let M-r be a connected orientable manifold with the Euler characteristic chi (M) not equivalent to 0 mod 6 . Denote by SAut(F-n) the unique subgroup o......
期刊： ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2018; 18 (2)
We introduce a relative version of the 2-Segal simplicial spaces defined by Dyckerhoff and Kapranov, and Galvez-Carrillo, Kock and Tonks. Examples of ......
期刊： ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2018; 18 (5)
We calculate the fundamental group of locally standard T -manifolds under the assumption that the principal T -bundle obtained from the free T -orbits......
期刊： ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2018; 18 (5)
Let SLn(Z) for n >= 3 be the special linear group and M-r be a closed aspherical manifold. It is proved that when r < n, a group action of SLn (......
期刊： ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2018; 18 (5)
The work of Volker Puppe and Matthias Kreck exhibited some intriguing connections between the algebraic topology of involutions on closed manifolds an......
期刊： ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2017; 17 (3)
This paper is devoted to discussing affine Hirsch foliations on 3-manifolds. First, we prove that up to isotopic leaf-conjugacy, every closed orientab......
期刊： ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2017; 17 (6)
Let S be a closed orientable surface of genus at least 2. The action of an automorphism f on the curve complex of S is an isometry. Via this isometric......
期刊： ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2017; 17 (5)
Let R be an infinite commutative ring with identity and n >= 2 an integer. We prove that for each integer i = 0, 1, ... , n - 2, the L-2-Betti numb......
