VOL. 21 · NO. 4 | 2021
 
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Articles
Malte Dehling, Bruno Vallette
Algebr. Geom. Topol. 21 (4), 1595-1660, (2021) DOI: 10.2140/agt.2021.21.1595
KEYWORDS: Homotopical algebra, operad, Koszul duality, E∞–operad, 18D50, 18G55
Xiaoyu Xu
Algebr. Geom. Topol. 21 (4), 1661-1676, (2021) DOI: 10.2140/agt.2021.21.1661
KEYWORDS: knot Floer homology, upsilon invariant, 57R58
Erkao Bao, Ko Honda
Algebr. Geom. Topol. 21 (4), 1677-1722, (2021) DOI: 10.2140/agt.2021.21.1677
KEYWORDS: equivariant Lagrangian Floer homology, semi-global Kuranishi structure, relative spin, coherent orientation, symplectic structure, 57M50, 53D10, 53D40
Russell Ricks
Algebr. Geom. Topol. 21 (4), 1723-1744, (2021) DOI: 10.2140/agt.2021.21.1723
KEYWORDS: CAT(0), complex, subspaces, 51K10
Jack Morgan Davies
Algebr. Geom. Topol. 21 (4), 1745-1790, (2021) DOI: 10.2140/agt.2021.21.1745
KEYWORDS: global homotopy theory, stable homotopy theory, higher algebra, equivariant homotopy theory, étale morphisms, realising algebra, 55P43, 55P91, 55P92, 55Q91
Yago Antolín, María Cumplido
Algebr. Geom. Topol. 21 (4), 1791-1816, (2021) DOI: 10.2140/agt.2021.21.1791
KEYWORDS: braid groups, Artin groups, Garside groups, parabolic subgroups, acylindrically hyperbolic groups, growth of groups, relative growth, 20F36, 20F65
Joseph Maher, Saul Schleimer
Algebr. Geom. Topol. 21 (4), 1817-1856, (2021) DOI: 10.2140/agt.2021.21.1817
KEYWORDS: curve complex, disc set, handlebody, compression body, 37E30, 20F65, 57M50
Heesang Park, Dongsoo Shin, Giancarlo Urzúa
Algebr. Geom. Topol. 21 (4), 1857-1880, (2021) DOI: 10.2140/agt.2021.21.1857
KEYWORDS: antiflip, Mori sequence, rational homology ball, 57R40, 57R55, 14B07, 14E30
David Hemminger
Algebr. Geom. Topol. 21 (4), 1881-1910, (2021) DOI: 10.2140/agt.2021.21.1881
KEYWORDS: Chow ring, equivariant Chow ring, Group cohomology, Steenrod algebra, Unstable modules, unstable algebras, T–functor, 14C15, 55S10, 14L30, 55N91
Roberto Ferreiro Pérez
Algebr. Geom. Topol. 21 (4), 1911-1940, (2021) DOI: 10.2140/agt.2021.21.1911
KEYWORDS: equivariant differential character, equivariant holonomy, Chern–Simons bundle, space of connections, space of Riemannian metrics, 55N91, 70S15, 53C08, 53C29, 58J28
Ronno Das, Ben O’Connor
Algebr. Geom. Topol. 21 (4), 1941-1972, (2021) DOI: 10.2140/agt.2021.21.1941
KEYWORDS: collinear, configuration space, Cohomology, Projective plane, hyperplane complement, 55R80, 14F25, 14J10
Anthony Conway, Matthias Nagel
Algebr. Geom. Topol. 21 (4), 1973-2036, (2021) DOI: 10.2140/agt.2021.21.1973
KEYWORDS: knot, fibered knot, twisted Alexander polynomial, Milnor pairing, Blanchfield pairing, Casson–Gordon invariants, 57M25
Emanuele Delucchi, Roberto Pagaria
Algebr. Geom. Topol. 21 (4), 2037-2063, (2021) DOI: 10.2140/agt.2021.21.2037
KEYWORDS: elliptic arrangements, Salvetti complexes, polyhedral complexes, CW complexes, acyclic categories, Braid group, configuration spaces, 55U05, 05E45, 20F36, 55R80
Wajid H Mannan, Tomasz Popiel
Algebr. Geom. Topol. 21 (4), 2065-2084, (2021) DOI: 10.2140/agt.2021.21.2065
KEYWORDS: group presentation, homotopy group, Wall's D(2) problem, 57K20, 57M05, 16S34, 20C05, 20C10, 55N25, 55P15, 55Q91
Alexey Ananyevskiy
Algebr. Geom. Topol. 21 (4), 2085-2106, (2021) DOI: 10.2140/agt.2021.21.2085
KEYWORDS: Thom isomorphisms, Thom classes, A1–cohomology, A1–derived category, triangulated motivic category, 14F42, 14F45
Adrien Brochier, David Jordan, Pavel Safronov, Noah Snyder
Algebr. Geom. Topol. 21 (4), 2107-2140, (2021) DOI: 10.2140/agt.2021.21.2107
KEYWORDS: braided tensor category, topological field theory, higher categories, 18M20, 57R56
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