LEADER 04181nam 22007813 450 001 9910970223903321 005 20231110232526.0 010 $a9781470469122 010 $a147046912X 035 $a(MiAaPQ)EBC6852912 035 $a(Au-PeEL)EBL6852912 035 $a(CKB)20667667400041 035 $a(RPAM)22491309 035 $a(OCoLC)1295270068 035 $a(EXLCZ)9920667667400041 100 $a20220117d2022 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNon-Kissing Complexes and Tau-Tilting for Gentle Algebras 205 $a1st ed. 210 1$aProvidence :$cAmerican Mathematical Society,$d2022. 210 4$dİ2021. 215 $a1 online resource (110 pages) 225 1 $aMemoirs of the American Mathematical Society ;$vv.274 300 $a"November 2021, volume 274, number 1343." 311 08$aPrint version: Palu, Yann Non-Kissing Complexes and Tau-Tilting for Gentle Algebras Providence : American Mathematical Society,c2022 9781470450045 320 $aIncludes bibliographical references. 327 $aString modules -- The non-kissing complex -- The non-kissing lattice -- The non-kissing associahedron. 330 $a"We interpret the support -tilting complex of any gentle bound quiver as the non-kissing complex of walks on its blossoming quiver. Particularly relevant examples were previously studied for quivers defined by a subset of the grid or by a dissection of a polygon. We then focus on the case when the non-kissing complex is finite. We show that the graph of increasing flips on its facets is the Hasse diagram of a congruence-uniform lattice. Finally, we study its g-vector fan and prove that it is the normal fan of a non-kissing associahedron"--$cProvided by publisher. 410 0$aMemoirs of the American Mathematical Society 606 $aCombinatorial analysis 606 $aRepresentations of algebras 606 $aPartially ordered sets 606 $aCongruence lattices 606 $aConvex polytopes 606 $aAssociative rings and algebras -- Representation theory of rings and algebras -- Representations of Artinian rings$2msc 606 $aAssociative rings and algebras -- Representation theory of rings and algebras -- Representations of quivers and partially ordered sets$2msc 606 $aCombinatorics -- Algebraic combinatorics -- Combinatorial aspects of representation theory$2msc 606 $aCombinatorics -- Algebraic combinatorics -- Combinatorial aspects of simplicial complexes$2msc 606 $aOrder, lattices, ordered algebraic structures -- Lattices -- Ideals, congruence relations$2msc 606 $aConvex and discrete geometry -- Polytopes and polyhedra -- $n$-dimensional polytopes$2msc 615 0$aCombinatorial analysis. 615 0$aRepresentations of algebras. 615 0$aPartially ordered sets. 615 0$aCongruence lattices. 615 0$aConvex polytopes. 615 7$aAssociative rings and algebras -- Representation theory of rings and algebras -- Representations of Artinian rings. 615 7$aAssociative rings and algebras -- Representation theory of rings and algebras -- Representations of quivers and partially ordered sets. 615 7$aCombinatorics -- Algebraic combinatorics -- Combinatorial aspects of representation theory. 615 7$aCombinatorics -- Algebraic combinatorics -- Combinatorial aspects of simplicial complexes. 615 7$aOrder, lattices, ordered algebraic structures -- Lattices -- Ideals, congruence relations. 615 7$aConvex and discrete geometry -- Polytopes and polyhedra -- $n$-dimensional polytopes. 676 $a512/.46 676 $a512.46 686 $a16G10$a16G20$a05E10$a05E45$a06B10$a52B11$2msc 700 $aPalu$b Yann$01801993 701 $aPilaud$b Vincent$01801994 701 $aPlamondon$b Pierre-Guy$01801995 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910970223903321 996 $aNon-Kissing Complexes and Tau-Tilting for Gentle Algebras$94347493 997 $aUNINA