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  1. No Access

    Article

    The Kapustin–Witten equations and nonabelian Hodge theory

    Arising from a topological twist of \({\mathscr {N}}=4\) N = ...

    Chih-Chung Liu, Steven Rayan, Yuuji Tanaka in European Journal of Mathematics (2022)

  2. Article

    Open Access

    On the singular sets of solutions to the Kapustin–Witten equations and the Vafa–Witten ones on compact Kähler surfaces

    This article finds a structure of singular sets on compact Kähler surfaces, which Taubes introduced in the studies of the asymptotic analysis of solutions to the Kapustin–Witten equations and the Vafa–Witten o...

    Yuuji Tanaka in Geometriae Dedicata (2019)

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  3. No Access

    Article

    Stable sheaves with twisted sections and the Vafa–Witten equations on smooth projective surfaces

    This article describes a Hitchin–Kobayashi style correspondence for the Vafa–Witten equations on smooth projective surfaces. This is an equivalence between a suitable notion of stability for a pair ...

    Yuuji Tanaka in Manuscripta Mathematica (2015)

  4. No Access

    Article

    A construction of Spin(7)-instantons

    Joyce constructed examples of compact eight-manifolds with holonomy Spin(7), starting with a Calabi–Yau four-orbifold with isolated singular points of a special kind. That construction can be seen as the gluing o...

    Yuuji Tanaka in Annals of Global Analysis and Geometry (2012)

  5. No Access

    Article

    Flower opening and closing ofOxalis martiana

    Flowers ofOxalis martiana open in the morning and close in the afternoon repeatedly for 3–5 days in May–July under natural conditions. Both in light and in darkness, the closed flowers opened in reponse to a rise...

    Osamu Tanaka, Hiroshi Murakami… in The botanical magazine = Shokubutsu-gaku-z… (1989)

  6. No Access

    Article

    Photonastic and thermonastic opening of capitulum in dandelion,Taraxacum officinale andTaraxacum japonicum

    The capitula ofTaraxacum officinale andT. japonicum open in response to temperature rise at lower temperatures (thermonasty), and in response to light at higher temperatures (photonasty), as was the case inT. alb...

    Osamu Tanaka, Yuuji Tanaka, Hiromitsu Wada in The botanical magazine = Shokubutsu-gaku-z… (1988)