02513cam  22004218i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000290013305000250016208200160018710000420020324501290024526300090037426400610038330000340044433600260047833700280050433800270053249000740055950400530063350507950068650600500148153300950153153800360162658800470166265000230170965000270173265000270175970000290178670000410181577601430185685600440199985600480204320495395RPAM20180621131216.0m      b    001 0 cr/|||||||||||180621s2018    riu     ob    001 0 eng    a9781470444198 (online)  aDLCbengerdacDLCdRPAM00aQA353.A9bB7825 201800a512.7/32231 aBruggeman, Roelof W.,d1944-eauthor.10aHolomorphic automorphic forms and cohomology /h[electronic resource] cRoelof Bruggeman, YoungJu Choie, Nikolaos Diamantis.  a1805 1aProvidence, RI :bAmerican Mathematical Society,c[2018]  a1 online resource (pages cm.)  atextbtxt2rdacontent  aunmediatedbn2rdamedia  avolumebnc2rdacarrier0 aMemoirs of the American Mathematical Society, x1947-6221 ; vv. 1212  aIncludes bibliographical references and indexes.00tIntroductiontChapter 1. Definitions and notationstChapter 2. Modules and cocyclestChapter 3. The image of automorphic forms in cohomologytChapter 4. One-sided averagestChapter 5. Harmonic functions and cohomologytChapter 6. Boundary germstChapter 7. Polar harmonic functionstChapter 8. Highest weight spaces of analytic boundary germstChapter 9. Tesselation and cohomologytChapter 10. Boundary germ cohomology and automorphic formstChapter 11. Automorphic forms of integral weights at least $2$ and analytic boundary germ cohomologytChapter 12. Isomorphisms between parabolic cohomology groupstChapter 13. Cocycles and singularitiestChapter 14. Quantum automorphic formstChapter 15. Remarks on the literaturetAppendix A. Universal covering group and representationstIndices1 aAccess is restricted to licensed institutions  aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2018  aMode of access : World Wide Web  aDescription based on print version record. 0aAutomorphic forms. 0aHolomorphic functions. 0aCohomology operations.1 aChoie, YoungJu,eauthor.1 aDiamantis, Nikolaos,d1970-eauthor.0 iPrint version: aBruggeman, Roelof W., 1944-tHolomorphic automorphic forms and cohomology /w(DLC)   2018018551x0065-9266z97814704285564 3Contentsuhttp://www.ams.org/memo/1212/4 3Contentsuhttps://doi.org/10.1090/memo/1212