ɐ ɹˈiːkɔːl ðætðə sˈɛkənd tʃˈɜːn nˈʌmbɚɹ əvɚ ɹˈæŋk tˈuː vˈɛktɚ bˈʌndəl ˌɔn ɐ sˈɜːfɪs ɪz ðə nˈʌmbɚɹ ʌv zˈiəɹoʊz əvə dʒənˈɛɹɪk sˈɛkʃən.
a) Recall that the second Chern number of a rank 2 vector bundle on a surface is the number of zeroes of a generic section.