Dr Hovhannes Khudaverdyan - publications

2017

• Khudaverdyan, H., & Peddie, M. (2017). Odd Laplacians: geometrical meaning of potential, and modular class. Letters in Mathematical Physics. DOI: 10.1007/s11005-017-0938-y. Publication link: dcb36540-2a59-4760-ae51-4a6b62a00801
• Khudaverdyan, H., & Mkrtchyan, R. L. (2017). Universal volume of groups and anomaly of Vogel's symmetry. Letters in Mathematical Physics. . Publication link: da5b1ee4-4020-4c66-bec8-fca8823dce02
• Khudaverdyan, H., & Mkrtchyan, R. L. (2017). Diophantine equations, Platonic solids, McKay correspondence, equivelar maps and Vogel's universality. Journal of Geometry and Physics. DOI: 10.1016/j.geomphys.2016.11.021. Publication link: 8cd82cd8-932a-45a3-a73f-574eb533dd86

2016

• Khudaverdyan, H., & Peddie, M. (2016). Odd symmetric tensors, and an analogue of the Levi-Civita connection for odd symplectic structure. Proceedings of Yerevan State University Physical and Mathematical Sciences, (3), 25–31. . Publication link: b233a73b-580a-4e5f-ac9e-edaada6234ff

2014

• Biggs, A., & Khudaverdyan, H. (2014). Operator pencils on the algebra of densities. Proceedings of Steklov Institute, 286. . Publication link: c5ab4637-8ed0-4731-ba52-0a4a5b4b028e
• Khudaverdyan, H., & Voronov, T. (2014). Geometric constructions in algebra of densities. Amer.Math.Soc. Transactions, 234, 221-243. . Publication link: 50f3ad7f-6d6b-4fc7-8630-30d972451588

2013

• Biggs, A., & Khudaverdyan, H. (2013). Operator pencil passing through a given operator. Journal of Mathematical Physics, 54(12). DOI: 10.1063/1.4839418. Publication link: 2c65d07f-d1cf-4726-b04a-f0caf59cc0af
• Khudaverdian, H. M., & Voronov, T. T. (2013). Geometry of differential operators of second order, the algebra of densities, and groupoids. Journal of Geometry and Physics, 64(1), 31-53. DOI: 10.1016/j.geomphys.2012.10.008. Publication link: 0c934f93-2b18-4e44-a73c-64d939d2b230
• Biggs, A., & Khudaverdyan, H. (2013). Operator Pencil passing through a given operator. Journal Mathematical Physics v.54.. Publication link: 71426ff6-798d-492d-a37e-cd08e7135f10
• Khudaverdyan, H., & Voronov, T. (2013). Geometry of differential operators of second order, the algebra of densities, and groupids. Journal of Geometry and Physics, 64, 31-53. DOI: 10.1016/j.geomphys.2012.10.008. Publication link: a292b177-c3ee-48f1-9b42-a082fd1db35d

2011

• Khudaverdian, H. M., & Voronov, T. T. (2011). A short proof of the Buchstaber-Rees theorem. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 369(1939), 1334-1345. DOI: 10.1098/rsta.2010.0310. Publication link: 01373d3a-afec-4c3c-9e9b-a171dcb15cb4
• Khudaverdyan, H. M., & Voronov, T. (2011). Second order operators on the algebra of denstities and a groupid of connections. Max-Planck-Institut fur Mathematik. Preprint Series (math.archiv arXiv:1112.5379 ), 73. . Publication link: a084f47d-50a2-4e6e-9721-eed1159470ba

2010

• Borovik, A. V., & Khudaverdyan, H. (2010). Merkator projection,logasrithm and...Matematicheskoje Prosveshenije (in Russian), 14. . Publication link: c501cea9-bd7a-4510-ac5f-1ea01139e265

2009

• Khudaverdyan, H., & Voronov, T. (2009). Higher Poisson brackets and differential forms. In Geometric methods of Physics. AIP Conference proceedings, 1079. DOI: 10.1063/1.3043861. Publication link: 50519098-250f-472a-a7b2-91fda7df177f

2008

• Khudaverdyan, H., & Voronov, T. (2008). Differential forms and odd symplectic geometry. Amer.Math.Soc. Trans.(2), 224. . Publication link: db729411-d0bd-43a6-b1ee-0ae52d4ec8b1

2004

• Khudaverdian, H. M. (2004). Semidensities on odd symplectic supermanifolds. Communications in Mathematical Physics, 247(2), 353-390. DOI: 10.1007/s00220-004-1083-x. Publication link: 32a0a8ed-f51e-43d7-b6dd-d4e4bf2c226b