Homepage of Wendy Lowen

Papers and preprints

• General information

• W. Lowen, M. Sioen, W. Van den Haute, Generalised spectra and Applications to finite distributive lattices
  J. Pure Applied Algebra

• Hoang Dinh Van, Lander Hermans, Wendy Lowen, Operadic structure on the Gerstenhaber-Schack complex for prestacks
  Selecta Mathematica - New Series 28 vol 3 (2022) arXiv:2010.07008 pdf

• Francesco Genovese, Wendy Lowen, Michel Van den Bergh, T-structures and twisted complexes on derived injectives
  Advances in Mathematics 387, (2021) arXiv:1905.07429v2 pdf

• W. Lowen, J. Ramos González, On the tensor product of well generated DG categories
  J. Pure Applied Algebra, (2021), pp 1-39, arXiv: 2002.09991v1 pdf

• Wendy Lowen, Michel Van den Bergh, The B_∞-structure on the derived endomorphism algebra of the unit in a monoidal category
  Internat. Math. Research Notices, (2021) rnab207, doi.org/101093/imrn/rnab207 arXiv:1907.06026v1

• W. Lowen, M. Sioen, W. Van den Haute, Frames of continuous functions
  Topology Appl., 273 (2020), doi: 10.1016/j.topol.2019.1069741

• L. Liu, W. Lowen, Hochschild cohomology of projective hypersurfaces
  Internat. Math. Res. Notices, (2019), Vol 10, 3076-3129, doi: 10.1093/imrn/rnx216 pdf

• Olivier De Deken, Wendy Lowen, Filtered cA_∞-categories and functor categories
  Appl. Categor. Struct.  26  (2018) 943-996, doi 10.1007/s10485-018-9526-2, SharedIt, pdf

• Hoang Dinh Van, Wendy Lowen, The Gerstenhaber-Schack complex for prestacks
  Advances in Math. 330 (2018) 173-228 , doi.org/10.1016/j.aim.2018.02.023 arXiv:1508.03792 or pdf

• W. Lowen, J. Ramos González, B. Shoikhet, On the tensor product of linear sites and Grothendieck categories
  Internat. Math. Res. Notices, (2017), doi: 10.1093/imrn/rnx072 arXiv:1607.03608 or pdf

• H. Dinh Van, L. Liu, W. Lowen, Non-commutative deformations and quasi-coherent modules
  Selecta Mathematica 23 (2) (2017) 1061-1119 doi 10.1007/s00029-016-0263-9 arXiv:1411.0331 or pdf

• W. Lowen, J. Mestdagh, Tensor Functional Topology
  Appl. Categor. Struct. 24 (2016) 569-604 doi 10.1007/s10485-015-9423-x pdf

• D. Kaledin, W. Lowen, Cohomology of exact categories and (non-)additive sheaves,
  Advances Math. 272, (2015), 652-698 doi10.1016/j.aim.2014.11.016, arXiv:1102.5756v1 or pdf

• W. Lowen, Linearized topologies and deformation theory
  Topology Appl. 200 (2016) 176-211 doi 10.2016/j.topol.2015.12.019 pdf

• W. Lowen, Hochschild cohomology with support,
  OWR-Oberwolfach reports EMS Publishing House, in Interactions between algebraic Geometry and Noncommutative Algebra, Vol 11, issue 2, (2014), 1377-1382 (2014) doi 10.4171/OWR/2014/25, pdf

• W. Lowen, Hochschild cohomology with support
  Internat. Math. Res. Notices (2015), Vol 2015 (13), 4741-4812, doi:10.1093/imrn/rnu079 arXiv:1304.7466 or pdf

• W. Lowen, M. Van den Bergh, On compact generation of deformed schemes
  Advances in Math. 244 (2013) 441-464 doi10.1016/j.aim.2013.04.024 arXiv:1001.4265 or pdf

• O. De Deken, W. Lowen, On deformations of triangulated models,
  Advances in Math 243 (2013) 330-374 doi/10.1016/j.aim.2013.04.013 arXiv:math/1202.1647v1
  or pdf

• W. Lowen, J. Mestdagh, Functional topology for geometric settings
  J. Pure Appl. Algebra, 217 (2013) 2180-2197 doi/10.1016/j.jpaa.2013.02.006, pdf

• W. Lowen, Grothendiek categories and their deformations with an application to schemes
  Matematica Contemporanea, 41 (2012) 27-48 pdf

• O. De Deken, W. Lowen, Abelian and derived deformations in the presence of Z-generating geometric helices
  J. Noncommut. Geom., 5 (2011) 477-505 pdf or arXiv:1001.4265

• W. Lowen, M. Van den Bergh, A Hochschild cohomology Comparison Theorem for prestacks,
  Trans. Amer. Math. Soc. 363 (2011) 949-968 pdf or arXiv:0905.2354v1

• W. Lowen, Deformations of linear sites and projective schemes,
  OWR-Oberwolfach reports EMS Publishing House Interactions between algebraic geometry and noncommutative algebra (2010) doi 10.4171/OWR/2010/22

• B. Keller, W. Lowen, P. Nicolas, On the (non)vanishing of some "derived" categories of curved dg algebras
  J. Pure Appl. Algebra 214 (2009) 1271-1284 doi: 10.1016/j.jpaa.2009.10.011 , pdf or arXiv:0905.3845v1

• B. Keller, W. Lowen, On Hochschild cohomology and Morita deformations
  Internat. Math. Res. Notices 17 (2009) 3221-3235 doi:10.1093/imrp/rnp050 pdf

• W. Lowen, Hochschild cohomology, the characteristic morphism and derived deformations
  Compositio Math. Vol 144 (6) (2008) 1557-1580 IHES prepublication M/07/26 , pdf or arXiv:0707.2602

• W. Lowen, Hochschild cohomology of presheaves as map-graded categories
  Internat. Math. Res. Notices Vol 2008, ID 118 (2008) pdf doi:10.1093/imrn/rnn118

• W. Lowen, A sheaf of Hochschild complexes on quasi-compact opens,
  Proc. Amer. Math. Soc. 136 (9) (2008) 3045-3050 pdf or arXiv:0707.2605

• W. Lowen, Algebroid prestacks and deformations of ringed spaces,
  Transactions Amer. Math. Soc. 360 (2008) 1631-1660 pdf or arXiv:math/0511197

• W. Lowen, On the Gabriel-Popescu theorem,
  OWR-Oberwolfach reports EMS Publishing House Thick subcategories - Classification and Applications Vol 3, issue 1 (2006)

• W. Lowen, M. Van den Bergh, Deformation theory of Abelian categories,
  Transactions Amer. Math. Soc. 358 (12) (2006) 5441-5483 pdf or arXiv:math/0405226

• W. Lowen, Obstruction theory for objects in Abelian and derived categories,
  Communications in Algebra 33 (9) (2005) 3195-3223 arXiv:math/0407019 pdf

• W. Lowen, M. Van den Bergh, Hochschild cohomology of Abelian categories and ringed spaces,
  Advances in Math. 198 (1) (2005) 172-221 pdf or arXiv:math/0405227

• W. Lowen, A generalization of the Gabriel-Popescu theorem,
  J. Pure Appl. Algebra 190 (2004) 197-211 pdf

• Violeta Borges Marques, Wendy Lowen, Arne Mertens, Deformations of quasi-categories in modules
  arXiv:2308.09148

• Hoang Dinh Van, Lander Hermans, Wendy Lowen, Box operads and higher Gerstenhaber brackets
  arXiv:2305.20036v1

• Wendy Lowen, Arne Mertens, Frobenius templicial modules and the dg-nerve
  arXiv:2005.04778v4

• Wendy Lowen, Arne Mertens, Enriched quasi-categories and the templicial homotopy coherent nerve
  arXiv:2302.02484v2

• Francesco Genovese, Wendy Lowen, Michel Van den Bergh, T-structures on dg-categories and derived deformations
  arXiv: 2212.12564v1

• Pieter Belmans, Wendy Lowen, Shinnosuke Okawa, Andrea T. Ricolfi, Appendix: Deformation theory for a morphism in the derived category with fixed lift of the codomain, in Pieter Belmans, Shinnosuke Okawa and Andrea T. Ricolfi, Moduli spaces of semiorthogonal decompositions in families
  arXiv:2002.03303v1

• Wendy Lowen, Michel Van den Bergh, The curvature problem for formal and infinitesimal deformations
  arXiv:1505.03698