Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Hokuto Konno"'
Autor:
Baraglia, David1 david.baraglia@adelaide.edu.au, Hokuto Konno2
Publikováno v:
Journal of Topology. Jun2022, Vol. 15 Issue 2, p505-586. 82p.
Autor:
Hokuto Konno
Publikováno v:
Journal of Topology. 15:108-167
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eccc86f26a500c923c0f20900a92ea40
https://doi.org/10.1112/topo.12215
https://doi.org/10.1112/topo.12215
Publikováno v:
International Journal of Mathematics. 33
We give a generalized Thurston–Bennequin-type inequality for links in [Formula: see text] using a Bauer–Furuta-type invariant for four-manifolds with contact boundary introduced by the first aut hor. As a special case, we also give an adjunction
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::18014b40e38893d120a06ce80415b0d8
https://doi.org/10.1142/s0129167x22500896
https://doi.org/10.1142/s0129167x22500896
Publikováno v:
Compositio Mathematica. 157:770-808
We show a rigidity theorem for the Seiberg-Witten invariants mod 2 for families of spin 4-manifolds. A mechanism of this rigidity theorem also gives a family version of 10/8-type inequality. As an application, we prove the existence of non-smoothable
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a80cd78ec87e0b322102261c0c95cefc
https://doi.org/10.1112/s0010437x2000771x
https://doi.org/10.1112/s0010437x2000771x
Autor:
Hokuto Konno
Publikováno v:
Journal of Topology. 12:1246-1265
We introduce an invariant of tuples of commutative diffeomorphisms on a 4-manifold using families of Seiberg-Witten equations. This is a generalization of Ruberman's invariant of diffeomorphisms defined using 1-parameter families of Seiberg-Witten eq
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e5bee982b15e6df288cd7b92cd43d585
https://doi.org/10.1112/topo.12117
https://doi.org/10.1112/topo.12117
Autor:
David Baraglia, Hokuto Konno
Publikováno v:
Proceedings of the American Mathematical Society. :1
We will show the following three theorems on the diffeomorphism and homeomorphism groups of a $K3$ surface. The first theorem is that the natural map $\pi_{0}(Diff(K3)) \to Aut(H^{2}(K3;\mathbb{Z}))$ has a section over its image. The second is that,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::662bf9a39434feea3fbd183fc2070670
https://doi.org/10.1090/proc/15544
https://doi.org/10.1090/proc/15544
Autor:
Hokuto Konno, David Baraglia
Publikováno v:
Geom. Topol. 24, no. 3 (2020), 1381-1456
We prove a gluing formula for the families Seiberg-Witten invariants of families of $4$-manifolds obtained by fibrewise connected sum. Our formula expresses the families Seiberg-Witten invariants of such a connected sum family in terms of the ordinar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d517dded7e14d7db50c3d9e68be1f37
Autor:
Masaki Taniguchi, Hokuto Konno
We show $ 10/8$-type inequalities for some end-periodic $4$-manifolds which have positive scalar curvature metrics on the ends. As an application, we construct a new family of closed $4$-manifolds which do not admit positive scalar curvature metrics.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2eb5033bf4dc4e7b532b40d28d759dc2
Autor:
Hokuto Konno
We construct characteristic classes of 4-manifold bundles using $SO(3)$-Yang-Mills theory and Seiberg-Witten theory for families.
Comment: 48 pages
Comment: 48 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1da21f613362a19c245b0443f1114d6a
Autor:
Hokuto Konno
For several embedded surfaces with zero self-intersection number in 4-manifolds, we show that an adjunction-type genus bound holds for at least one of the surfaces under certain conditions. For example, we derive certain adjunction inequalities for s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8dfab5cc77a5aa0e802f9ccac7530a1a
http://arxiv.org/abs/1507.00139
http://arxiv.org/abs/1507.00139