div class=ts-pagebuttonPage 1button div class=ts-image amp-img class=ts-thumb alt=Page 1: GTS 2012usersmathuocgr~jplatisCSQFpdfTHEOREM A Given a partition of the surface S by 3g—3 simple closed geodesics y: there exist complex length functions and bending 3g—3 src=https:reader036vdocumentssitereader036viewer2022071511613000a21ecc51586943d079html5thumbnails1jpg width=142 height=106 layout=responsive amp-img divdivdiv class=ts-pagebuttonPage 2button div class=ts-image amp-img class=ts-thumb alt=Page 2: GTS 2012usersmathuocgr~jplatisCSQFpdfTHEOREM A Given a partition of the surface S by 3g—3 simple closed geodesics y: there exist complex length functions and bending 3g—3 src=https:reader036vdocumentssitereader036viewer2022071511613000a21ecc51586943d079html5thumbnails2jpg width=142 height=106 layout=responsive amp-img divdivdiv class=ts-pagebuttonPage 3button div class=ts-image amp-img class=ts-thumb alt=Page 3: GTS 2012usersmathuocgr~jplatisCSQFpdfTHEOREM A Given a partition of the surface S by 3g—3 simple closed geodesics y: there exist complex length functions and bending 3g—3 src=https:reader036vdocumentssitereader036viewer2022071511613000a21ecc51586943d079html5thumbnails3jpg width=142 height=106 layout=responsive amp-img divdivdiv class=ts-pagebuttonPage 4button div class=ts-image amp-img class=ts-thumb alt=Page 4: GTS 2012usersmathuocgr~jplatisCSQFpdfTHEOREM A Given a partition of the surface S by 3g—3 simple closed geodesics y: there exist complex length functions and bending 3g—3 src=https:reader036vdocumentssitereader036viewer2022071511613000a21ecc51586943d079html5thumbnails4jpg width=142 height=106 layout=responsive amp-img divdivdiv class=ts-pagebuttonPage 5button div class=ts-image amp-img class=ts-thumb alt=Page 5: GTS 2012usersmathuocgr~jplatisCSQFpdfTHEOREM A Given a partition of the surface S by 3g—3 simple closed geodesics y: there exist complex length functions and bending 3g—3 src=https:reader036vdocumentssitereader036viewer2022071511613000a21ecc51586943d079html5thumbnails5jpg width=142 height=106 layout=responsive amp-img divdivdiv class=ts-pagebuttonPage 6button div class=ts-image amp-img class=ts-thumb alt=Page 6: GTS 2012usersmathuocgr~jplatisCSQFpdfTHEOREM A Given a partition of the surface S by 3g—3 simple closed geodesics y: there exist complex length functions and bending 3g—3 src=https:reader036vdocumentssitereader036viewer2022071511613000a21ecc51586943d079html5thumbnails6jpg width=142 height=106 layout=responsive amp-img divdivdiv class=ts-pagebuttonPage 7button div class=ts-image amp-img class=ts-thumb alt=Page 7: GTS 2012usersmathuocgr~jplatisCSQFpdfTHEOREM A Given a partition of the surface S by 3g—3 simple closed geodesics y: there exist complex length functions and bending 3g—3 src=https:reader036vdocumentssitereader036viewer2022071511613000a21ecc51586943d079html5thumbnails7jpg width=142 height=106 layout=responsive amp-img divdivdiv class=ts-pagebuttonPage 8button div class=ts-image amp-img class=ts-thumb alt=Page 8: GTS 2012usersmathuocgr~jplatisCSQFpdfTHEOREM A Given a partition of the surface S by 3g—3 simple closed geodesics y: there exist complex length functions and bending 3g—3 src=https:reader036vdocumentssitereader036viewer2022071511613000a21ecc51586943d079html5thumbnails8jpg width=142 height=106 layout=responsive amp-img divdivdiv class=ts-pagebuttonPage 9button div class=ts-image amp-img class=ts-thumb alt=Page 9: GTS 2012usersmathuocgr~jplatisCSQFpdfTHEOREM A Given a partition of the surface S by 3g—3 simple closed geodesics y: there exist complex length functions and bending 3g—3 src=https:reader036vdocumentssitereader036viewer2022071511613000a21ecc51586943d079html5thumbnails9jpg width=142 height=106 layout=responsive amp-img divdivdiv class=ts-pagebuttonPage 10button div class=ts-image amp-img class=ts-thumb alt=Page 10: GTS 2012usersmathuocgr~jplatisCSQFpdfTHEOREM A Given a partition of the surface S by 3g—3 simple closed geodesics y: there exist complex length functions and bending 3g—3 src=https:reader036vdocumentssitereader036viewer2022071511613000a21ecc51586943d079html5thumbnails10jpg width=142 height=106 layout=responsive amp-img divdivdiv class=ts-pagebuttonPage 11button div class=ts-image amp-img class=ts-thumb alt=Page 11: GTS 2012usersmathuocgr~jplatisCSQFpdfTHEOREM A Given a partition of the surface S by 3g—3 simple closed geodesics y: there exist complex length functions and bending 3g—3 src=https:reader036vdocumentssitereader036viewer2022071511613000a21ecc51586943d079html5thumbnails11jpg width=142 height=106 layout=responsive amp-img divdiv