7847696c114b5b88b77a5d835ca188a2 AHL_2020_3_341_0.pdf 1612d5e12bf8ea6ceb575a3a711c258be42df542 AHL_2020_3_341_0.pdf 4fcb1a3051e4b3bd7e3a105ced82ba766f640e14d542b1dceace438db602e087 AHL_2020_3_341_0.pdf Title: Holomorphic volume forms on representation varieties of surfaces with boundary Subject: License CC BY 4.0 https://creativecommons.org/licenses/by/4.0/ Keywords: Produit dans le cadre du centre Mersenne, http://www.centre-mersenne.org/ Author: Michael Heusener& Joan Porti Creator: LaTeX with hyperref package Producer: pdfTeX-1.40.18 CreationDate: Wed Jun 3 18:03:49 2020 CEST ModDate: Wed Jun 3 18:03:49 2020 CEST Tagged: no UserProperties: no Suspects: no Form: none JavaScript: no Pages: 40 Encrypted: no Page size: 595.276 x 841.89 pts (A4) Page rot: 0 File size: 760823 bytes Optimized: yes PDF version: 1.6 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- FYRKVL+LMRoman10-Regular Type 1 Custom yes yes no 862 0 FYRKVL+LMRoman10-Regular Type 1 Custom yes yes no 866 0 GVQFNO+LMMathItalic7-Regular Type 1 Custom yes yes no 867 0 TOKPON+MSBM10 Type 1 Builtin yes yes no 868 0 GIJCGP+LMRomanSlant10-Regular Type 1 Custom yes yes no 869 0 LZTWHO+LMMono10-Regular Type 1 Custom yes yes no 870 0 WLPVFT+LMRomanCaps10-Regular Type 1 Custom yes yes no 865 0 MRZDCN+LMRoman10-Bold Type 1 Custom yes yes no 863 0 ZZAARL+OratorFS-Regular Type 1 Custom yes yes no 864 0 SJIIVY+LMRoman9-Regular Type 1 Custom yes yes no 873 0 SQQBHO+LMRoman7-Regular Type 1 Custom yes yes no 886 0 VLWKQW+LMRoman12-Regular Type 1 Custom yes yes no 872 0 OZMWAU+LMRoman12-Bold Type 1 Custom yes yes no 874 0 VLWKQW+LMRoman12-Regular Type 1 Custom yes yes no 876 0 EIYKJS+LMRoman8-Regular Type 1 Custom yes yes no 880 0 QWXLJS+LMRoman6-Regular Type 1 Custom yes yes no 885 0 JTDWTZ+LMMathItalic12-Regular Type 1 Custom yes yes no 875 0 VPHQUJ+LMMathItalic8-Regular Type 1 Custom yes yes no 877 0 SPONDT+LMMathSymbols10-Regular Type 1 Custom yes yes no 879 0 QYIDNU+LMMathSymbols8-Regular Type 1 Custom yes yes no 883 0 DUIVRL+MSAM10 Type 1 Builtin yes yes no 878 0 QWHEOK+EUFM10 Type 1 Builtin yes yes no 881 0 UNGUOT+LMRoman12-Italic Type 1 Custom yes yes no 882 0 BTGFCZ+LMRomanSlant12-Regular Type 1 Custom yes yes no 884 0 OZMWAU+LMRoman12-Bold Type 1 Custom yes yes no 888 0 JKEGYX+LMMathExtension10-Regular Type 1 Custom yes yes no 887 0 NIXWRD+LMMathItalic6-Regular Type 1 Custom yes yes no 889 0 VHXXZC+EURM10 Type 1 Builtin yes yes no 890 0 XSXDMO+LMMathSymbols6-Regular Type 1 Custom yes yes no 893 0 PARXJW+LMRoman8-Bold Type 1 Custom yes yes no 896 0 EIYKJS+LMRoman8-Regular Type 1 Custom yes yes no 895 0 WQONUE+LMMathItalic10-Regular Type 1 Custom yes yes no 897 0 QQTAQB+LMRoman10-Italic Type 1 Custom yes yes no 901 0 SQQBHO+LMRoman7-Regular Type 1 Custom yes yes no 902 0 Jhove (Rel. 1.22.1, 2019-04-17) Date: 2022-03-11 02:30:36 CET RepresentationInformation: AHL_2020_3_341_0.pdf ReportingModule: PDF-hul, Rel. 1.12.1 (2019-04-17) LastModified: 2022-03-03 07:18:19 CET Size: 760823 Format: PDF Version: 1.6 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf Profile: Linearized PDF PDFMetadata: Objects: 0 FreeObjects: 1 IncrementalUpdates: 0 DocumentCatalog: ViewerPreferences: HideToolbar: false HideMenubar: false HideWindowUI: false FitWindow: true CenterWindow: false DisplayDocTitle: false NonFullScreenPageMode: UseNone Direction: L2R ViewArea: CropBox ViewClip: CropBox PrintArea: CropBox PageClip: CropBox PageLayout: SinglePage PageMode: UseOutlines Outlines: Item: Title: 1. Introduction Children: Item: Title: Acknowledgments Item: Title: 2. Varieties of representations Children: Item: Title: 2.1. The variety of good representations Item: Title: 2.2. The relative variety of representations Item: Title: 2.3. Steinberg map Item: Title: 3. Reidemeister torsion Children: Item: Title: 3.1. The holomorphic volume form Item: Title: 3.2. The nondegenerate pairing Item: Title: 3.3. The duality formula Item: Title: 4. Symplectic form and volume forms Children: Item: Title: 4.1. The symplectic form on the relative variety of representations Item: Title: 4.2. Sign refined Reidemeister torsion for the circle Item: Title: 4.3. An holomorphic volume form on Rreg(S1,G) Item: Title: 4.4. Witten's formula Item: Title: 5. Formulas for the group SLn Children: Item: Title: 5.1. The form nu for SLn Item: Title: 5.2. The form nu for SUn Item: Title: 5.3. Volume form for representation spaces of F2 Item: Title: 6. Symplectic forms Children: Item: Title: 6.1. A torus minus a disc Item: Title: 6.2. A planar surface with four boundary components Item: Title: 7. Volume forms for free groups of higher rank Children: Item: Title: 7.1. Volume form on R*(Fk, SL2) Item: Title: 7.2. Volume form on R*(Fk, SL3(CC)) Item: Title: Bibliography Filters: FilterPipeline: FlateDecode Images: Image: NisoImageMetadata: FormatName: image/png ImageWidth: 1921 ImageHeight: 1624 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Fonts: Type1: Font: BaseFont: PARXJW+LMRoman8-Bold FontSubset: true FirstChar: 104 LastChar: 118 FontDescriptor: FontName: PARXJW+LMRoman8-Bold Flags: Symbolic FontBBox: -519, -307, 1704, 1136 FontFile: true EncodingDictionary: Differences: true Font: BaseFont: WQONUE+LMMathItalic10-Regular FontSubset: true FirstChar: 59 LastChar: 83 FontDescriptor: FontName: WQONUE+LMMathItalic10-Regular Flags: Symbolic FontBBox: -32, -250, 1048, 750 FontFile: true EncodingDictionary: Differences: true Font: BaseFont: QQTAQB+LMRoman10-Italic FontSubset: true FirstChar: 27 LastChar: 252 FontDescriptor: FontName: QQTAQB+LMRoman10-Italic Flags: Symbolic FontBBox: -458, -290, 1386, 1125 FontFile: true EncodingDictionary: Differences: true Font: 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