Phase Transition of Kähler–Einstein Metrics via Moment Maps

Jun Wang; Jian Zhou

doi:10.1007/s40304-018-0153-x

Communications in Mathematics and Statistics ›› 2018, Vol. 6 ›› Issue (3) : 389 -415. DOI: 10.1007/s40304-018-0153-x

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Phase Transition of Kähler–Einstein Metrics via Moment Maps

Jun Wang ¹
, Jian Zhou ¹^,^b

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Abstract

We study the phase transition of Kähler Ricci-flat metrics on some open Calabi–Yau spaces with the help of the images of moment maps of natural torus actions on these spaces.

Keywords

Moment Map / Phase Transition / Kähler–Einstein Space

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Jun Wang, Jian Zhou. Phase Transition of Kähler–Einstein Metrics via Moment Maps. Communications in Mathematics and Statistics, 2018, 6(3): 389-415 DOI:10.1007/s40304-018-0153-x