heat_kernel.bib

@article {atiyah-bott-patodi,
    AUTHOR = {Atiyah, M. and Bott, R. and Patodi, V. K.},
     TITLE = {On the heat equation and the index theorem},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {19},
      YEAR = {1973},
     PAGES = {279--330},
      ISSN = {0020-9910},
   MRCLASS = {58G10 (35K05)},
  MRNUMBER = {0650828},
MRREVIEWER = {Authors' review},
       DOI = {10.1007/BF01425417},
       URL = {https://doi-org.ezp-prod1.hul.harvard.edu/10.1007/BF01425417},
}
@article {atiyah-bott-patodi-errata,
    AUTHOR = {Atiyah, M. and Bott, R. and Patodi, V. K.},
     TITLE = {Errata to: ``{O}n the heat equation and the index theorem''
              ({I}nvent. {M}ath. {\bf 19} (1973), 279--330)},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {28},
      YEAR = {1975},
     PAGES = {277--280},
      ISSN = {0020-9910},
   MRCLASS = {58G10},
  MRNUMBER = {0650829},
       DOI = {10.1007/BF01425562},
       URL = {https://doi-org.ezp-prod1.hul.harvard.edu/10.1007/BF01425562},
}
@article {atiyah-patodi-singer,
    AUTHOR = {Atiyah, M. F. and Patodi, V. K. and Singer, I. M.},
     TITLE = {Spectral asymmetry and {R}iemannian geometry. {I}},
   JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
  FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
              Society},
    VOLUME = {77},
      YEAR = {1975},
     PAGES = {43--69},
      ISSN = {0305-0041},
   MRCLASS = {58G10 (57E15 57D85)},
  MRNUMBER = {0397797},
MRREVIEWER = {Kh. Knapp},
       DOI = {10.1017/S0305004100049410},
       URL = {https://doi-org.ezp-prod1.hul.harvard.edu/10.1017/S0305004100049410},
}

@article {patodi-curvature,
    AUTHOR = {Patodi, V. K.},
     TITLE = {Curvature and the eigenforms of the {L}aplace operator},
   JOURNAL = {J. Differential Geometry},
  FJOURNAL = {Journal of Differential Geometry},
    VOLUME = {5},
      YEAR = {1971},
     PAGES = {233--249},
      ISSN = {0022-040X},
   MRCLASS = {58G05 (53C20)},
  MRNUMBER = {0292114},
MRREVIEWER = {N. Moulis},
       URL = {http://projecteuclid.org.ezp-prod1.hul.harvard.edu/euclid.jdg/1214429791},
}
@article {dodziuk-maximum,
    AUTHOR = {Dodziuk, Jozef},
     TITLE = {Maximum principle for parabolic inequalities and the heat flow
              on open manifolds},
   JOURNAL = {Indiana Univ. Math. J.},
  FJOURNAL = {Indiana University Mathematics Journal},
    VOLUME = {32},
      YEAR = {1983},
    NUMBER = {5},
     PAGES = {703--716},
      ISSN = {0022-2518},
   MRCLASS = {58G11 (35K05)},
  MRNUMBER = {711862},
MRREVIEWER = {P. G\"{u}nther},
       DOI = {10.1512/iumj.1983.32.32046},
       URL = {https://doi-org.ezp-prod1.hul.harvard.edu/10.1512/iumj.1983.32.32046},
}