Junrong Yan

activity

20242026

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math.DG2025

A gluing formula for the $Z_{2}$ -valued index of odd symmetric operators

Maxim Braverman, Ahmad Reza Haj Saeedi Sadegh, Junrong Yan

We investigate Dirac-type operator $D$ on involutive manifolds with boundary with symmetry, which forces the index of $D$ to vanish. We study the secondary $Z_{2}$ -valued index of el…

math.DG2025

Weyl Law for Schrödinger Operators on Noncompact Manifolds, Heat Kernel, and Karamata-Hardy-Littlewood Theorem

Xianzhe Dai, Junrong Yan

Building on our earlier work on heat kernel asymptotics for Schrödinger-type operators on noncompact manifolds, we establish both the classical and semiclassical Weyl laws for Schr…

A gluing formula for the Z2​-valued index of odd symmetric operators

Weyl Law for Schrödinger Operators on Noncompact Manifolds, Heat Kernel, and Karamata-Hardy-Littlewood Theorem

A gluing formula for the $Z_{2}$ -valued index of odd symmetric operators