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pro vyhledávání: '"Hekmati, Pedram"'
Autor:
Baraglia, David, Hekmati, Pedram
We study equivariant Seiberg-Witten Floer theory of rational homology $3$-spheres in the special case where the group action is given by an involution. The case of involutions deserves special attention because we can couple the involution to the cha
Externí odkaz:
http://arxiv.org/abs/2403.00203
Autor:
Hekmati, Pedram, Orseli, Marcos
We compute the equivariant index of the twisted horizontal Dolbeault operator on compact toric contact manifolds of Reeb type. The operator is elliptic transverse to the Reeb foliation and its equivariant index defines a distribution on the torus. Us
Externí odkaz:
http://arxiv.org/abs/2306.08811
Autor:
Baraglia, David, Hekmati, Pedram
Publikováno v:
J. Topol. Vol. 17 no. 2, e12339 (2024)
In this paper we further develop the theory of equivariant Seiberg-Witten-Floer cohomology of the two authors, with an emphasis on Brieskorn homology spheres. We obtain the following applications. First, we show that the knot concordance invariants $
Externí odkaz:
http://arxiv.org/abs/2208.05143
Autor:
Baraglia, David, Hekmati, Pedram
Publikováno v:
Algebr. Geom. Topol. 24 (2024) 493-554
We develop an equivariant version of Seiberg-Witten-Floer cohomology for finite group actions on rational homology $3$-spheres. Our construction is based on an equivariant version of the Seiberg-Witten-Floer stable homotopy type, as constructed by Ma
Externí odkaz:
http://arxiv.org/abs/2108.06855
We analyse the problem of assigning sign choices to O-planes in orientifolds of type II string theory. We show that there exists a sequence of invariant $p$-gerbes with $p\geq-1$, which give rise to sign choices and are related by coboundary maps. We
Externí odkaz:
http://arxiv.org/abs/1905.06041
Akademický článek
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Autor:
Baraglia, David, Hekmati, Pedram
Publikováno v:
Adv. Math. 408 (2022), 108661
We prove an analogue of the Hitchin-Kobayashi correspondence for compact, oriented, taut Riemannian foliated manifolds with transverse Hermitian structure. In particular, our Hitchin-Kobayashi theorem holds on any compact Sasakian manifold. We define
Externí odkaz:
http://arxiv.org/abs/1802.09699
Autor:
Baraglia, David, Hekmati, Pedram
Publikováno v:
In Advances in Mathematics 29 October 2022 408 Part B
Publikováno v:
Adv. Theor. Math. Phys. 23 (2019) 2093-2159
We consider Real bundle gerbes on manifolds equipped with an involution and prove that they are classified by their Real Dixmier-Douady class in Grothendieck's equivariant sheaf cohomology. We show that the Grothendieck group of Real bundle gerbe mod
Externí odkaz:
http://arxiv.org/abs/1608.06466
Autor:
Baraglia, David, Hekmati, Pedram
Publikováno v:
Proc. London Math. Soc. (2) 114 (2017) 293-332
We calculate the $E$-polynomials of the $SL_3(\mathbb{C})$ and $GL_3(\mathbb{C})$-character varieties of compact oriented surfaces of any genus and the $E$-polynomials of the $SL_2(\mathbb{C})$ and $GL_2(\mathbb{C})$-character varieties of compact no
Externí odkaz:
http://arxiv.org/abs/1602.06996