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We attempt to interpret the cosmic-ray positron excess by injection from thenearby pulsar Geminga, assuming a two-zone diffusion scenario and an injectionspectrum with a low energy cutoff. Since the high energy positrons andelectrons from Geminga can induce $\gamma$ rays via inverse Compton scattering,we take into account the extended $\gamma$-ray observations around Geminga fromHAWC for $\sim 10$ TeV and from Fermi-LAT for $\mathcal{O}(10)$ GeV. Accordingto the extended $\gamma$-ray observation claimed by an analysis of Fermi-LATdata, we find that Geminga could explain the positron excess for a $30\%$energy conversion efficiency into positrons and electrons. However, based onthe constraint on the extended $\gamma$ rays given by another Fermi-LATanalysis, positrons from Geminga would be insufficient to account for thepositron excess. A further robust analysis of Fermi-LAT data for the extended$\gamma$ rays would be crucial to determine whether Geminga can explain thepositron excess or not.

Geminga contribution to the cosmic-ray positron excess according to the gamma-ray observations