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Title: Stability of the tangent bundle through conifold transitions
Abstract LetXbe a compact, Kähler, Calabi‐Yau threefold and suppose , for , is a conifold transition obtained by contracting finitely many disjoint curves inXand then smoothing the resulting ordinary double point singularities. We show that, for sufficiently small, the tangent bundle admits a Hermitian‐Yang‐Mills metric with respect to the conformally balanced metrics constructed by Fu‐Li‐Yau. Furthermore, we describe the behavior of near the vanishing cycles of as .  more » « less
Award ID(s):
1944952
PAR ID:
10530852
Author(s) / Creator(s):
; ;
Publisher / Repository:
Wiley
Date Published:
Journal Name:
Communications on Pure and Applied Mathematics
Volume:
77
Issue:
1
ISSN:
0010-3640
Page Range / eLocation ID:
284 to 371
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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