N. Nakamura

activity

20062021

most citedRigidity of the mod 2 families Seiberg-Witten invariants and topology of families of spin 4-manifolds

7 citations · 31 across the 15 of their papers we have counts for

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4 papers · 1 filter

math.DG2018

Real structures and the $Pin^{-} (2)$ -monopole equations

Nobuhiro Nakamura

We investigate the $Pin^{-} (2)$ -monopole invariants of symplectic $4$ -manifolds and Kähler surfaces with real structures. We prove the nonvanishing theorem for real symplect…

math.DG2015

Yamabe Invariants and the $Pin^{-} (2)$ -monopole Equations

Masashi Ishida, Shinichiroh Matsuo, Nobuhiro Nakamura

We compute the Yamabe invariants for a new infinite class of closed $4$ -dimensional manifolds by using a "twisted" version of the Seiberg-Witten equations, the $Pin^{-} (2)$ -…

math.DG2009★ 3 cited

Mod p equality theorem for Seiberg-Witten invariants under Z_p-actions

Nobuhiro Nakamura

When a cyclic group G of prime order acts on a 4-manifold X, we prove a formula which relates the Seiberg-Witten invariants of X to those of X/G.

math.DG2006★ 1 cited

Mod $p$ vanishing theorem of Seiberg-Witten invariants for 4-manifolds with $Z_{p}$ -actions

N. Nakamura

We give an alternative proof of the mod $p$ vanishing theorem by F.Fang of Seiberg-Witten invariants under a cyclic group action of prime order, and generalize it to the case when…

Real structures and the Pin−(2)-monopole equations

Yamabe Invariants and the Pin−(2)-monopole Equations

Mod p equality theorem for Seiberg-Witten invariants under Z_p-actions

Mod p vanishing theorem of Seiberg-Witten invariants for 4-manifolds with Zp​-actions

Real structures and the $Pin^{-} (2)$ -monopole equations

Yamabe Invariants and the $Pin^{-} (2)$ -monopole Equations

Mod $p$ vanishing theorem of Seiberg-Witten invariants for 4-manifolds with $Z_{p}$ -actions